Free Printable Alg 2 1st Semester Final Study Guide

1.

For the function y = a ∗ f(bx − ℎ) + k, changes in the value of h cause which of the below changes to the graph?

a)

Horizontal shrink/stretch

b)

Vertical shift up/down

c)

Horizontal shift left/right

d)

Vertical shrink/stretch

2.

For the function y = a ∗ f(bx − ℎ) + k, changes in the value of k cause which of the below changes to the graph?

a)

Horizontal shrink/stretch

b)

Vertical shift up/down

c)

Horizontal shift left/right

d)

Vertical shrink/stretch

3.

For the function y = a ∗ f(bx − ℎ) + k, changes in the value of a cause which of the below changes to the graph?

a)

Horizontal shrink/stretch

b)

Vertical shift up/down

c)

Horizontal shift left/right

d)

Vertical shrink/stretch

4.

For the function y = a ∗ f(bx − ℎ) + k and b < 0, which of the following occurs?

a)

Horizontal shrink/stretch

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

Vertical shrink/stretch

5.

For the function y = a ∗ f(bx − ℎ) + k, changes in the value of b cause which of the below changes to the graph?

a)

Horizontal shrink/stretch

b)

Vertical shift up/down

c)

Horizontal shift left/right

d)

Vertical shrink/stretch

6.

For the function y = a ∗ f(bx − ℎ) + k and a < 0, which of the following occurs?

a)

Horizontal shrink/stretch

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

Vertical shrink/stretch

7.

Given the function y = f(x − 2) + 4, which of the following represents the transformation of y?

a)

Horizontal shift right 2

Vertical shift down 4

b)

Horizontal shift left 2

Vertical shift up 4

c)

Horizontal shift right 2

Vertical shift up 4

d)

Horizontal shift left 2

Vertical shift down 4

8.

Given the function y = f(x + 2) + 4, which of the following represents the transformation of y?

a)

Horizontal shift right 2

Vertical shift down 4

b)

Horizontal shift left 2

Vertical shift up 4

c)

Horizontal shift right 2

Vertical shift up 4

d)

Horizontal shift left 2

Vertical shift down 4

9.

Given the quadratic function $f\left(x\right)=\left(x-h\right)^2+k$ , and given that ℎ = 3 and k = 4, what is the vertex of the function?

a)

(-3, -4)

b)

(3, 4)

c)

(-3, 4)

d)

(3, -4)

10.

Given the quadratic function $f\left(x\right)=\left(x-h\right)^2+k$ , and given that ℎ = -5 and k = 2, what is the vertex of the function?

a)

(-5, -2)

b)

(5, 2)

c)

(-5, 2)

d)

(5, -2)

11.

Given the quadratic function $f\left(x\right)=\left(x-3\right)^2+1$ , what is the vertex of the function?

a)

(-3, -1)

b)

(3, 1)

c)

(-3, 1)

d)

(3, -1)

12.

Given the quadratic function $f\left(x\right)=\left(x+7\right)^2-2$ , what is the vertex of the function?

a)

(-7, -2)

b)

(7, 2)

c)

(-7, 2)

d)

(7, -2)

13.

If f(-x) =f(x) then the function is

a)

odd function

b)

even function

c)

neither nor

d)

log function

14.

If -f(x) =f(-x) then the function is

a)

odd function

b)

even function

c)

neither nor

d)

log function

15.

Identify whether the function is even or odd given the table of values.

a)

Even

b)

Odd

c)

Neither

16.

Identify whether the function is even or odd given the table of values.

a)

Even

b)

Odd

c)

Neither

17.

Identify whether the function is even or odd given the graph.

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

18.

Identify whether the function is even or odd given the graph.

a)

Even

b)

Odd

c)

Neither

19.

Which of the following is the correct range for the function shown on the graph?

a)

$\left(-\infty,\ 6\right]$

b)

$\left[-10,\ 6\right]$

c)

$\left[-10,\ \infty\right)$

d)

$\left(-\infty,\ \infty\right)$

20.

Which of the following is the correct range for the function shown on the graph?

a)

$\left(-7,\ 2\right)$

b)

$\left[-7,\ 2\right]$

c)

$\left[-3,\ 2\right)$

d)

$\left(-3,\ 2\right)$

21.

Which is the correct domain for the function shown in the graph?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,\infty\right)$

e)

None of the answer choices

22.

Which is the correct domain for the function shown in the graph?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

23.

Which response correctly represents the interval of increase for the function shown in the graph?

a)

$\left(-\infty,\ 1\right)$

b)

$\left(-\infty,\ 2\right)$

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

24.

Which response correctly represents the interval of decrease for the function shown in the graph?

a)

(-∞, 4)

b)

(4, 3)

c)

(0, 1)

d)

(0, -∞)

25.

Identify the absolute maximum value on the graph shown.

a)

5

b)

0

c)

-5

d)

2

26.

Identify the absolute minimum value on the graph shown.

a)

0

b)

-5

c)

-3

d)

-1

27.

Identify all x-intercepts in the given graph.

a)

(-2, 0)

b)

(0, 0) & (4, 0)

c)

(0, 0) & (-2, 0)

d)

(-2, 0) & (4, 0)

28.

Identify all y-intercepts in the given graph.

a)

(0,3)

b)

(3,0)

c)

(1,0)

d)

(2,-1)

29.

If Alucard wanted to solve this equation using the square root method, which answer shows the correct sequence of steps? $x^2-41=8$

a)

Take the square root of both sides.

b)

Subtract 41 from both sides, then square root both sides.

c)

Add 41 to both sides, then square root both sides.

d)

Subtract 8 from both sides, then square root both sides.

30.

If Beauford wanted to solve this equation using factoring by grouping, which answer shows the correct sequence of steps? $2x^2-5x-18=0$

a)

Multiply 2 and -18 together and factor -36 into -9 and 4.

Split -5x into -9x and +4x. Factor out the GCF from both groups, and factor out the GCF from both terms.

Set both factors equal to 0 and solve for x.

b)

Multiply 2 and -18 together and factor -36 into -9 and 4.

Write the equation in factored form. Set the factors equal to 0 and solve for x.

c)

Multiply 2 and -18 together and factor -36 into -9 and 4.

Split -5x into -9x and +4x. Factor out the GCF from both groups.

Set both terms equal to 0 and solve for x.

d)

Factor 18 into -9 and 2

Write the equation in factored form. Set the factors equal to 0 and solve for x.

31.

If Carly wanted to solve the equation below by using the quadratic formula, which answer shows the correct sequence of steps?

$x^2-12x+4=0$

a)

Identify a=1, b=-12, and c=4.
Plug in the numbers for a, b, and c. Simplify the radical (square root sign). Simplify the numerator and divide by the denominator.

b)

Identify a=1, b=-12, and c=4.
Plug in the numbers for a, b, and c. Simplify the radical (square root sign). Simplify the numerator.

c)

Identify a=1, b=-12, and c=4.
Plug in the numbers for a, b, and c. Simplify the radical (square root sign).

d)

This trinomial cannot be solved by the quadratic formula.

32.

If Delia wanted to solve the equation below by completing the square, which answer shows the correct sequence of steps? $x^2-6x+4=0$

a)

Find $\left(\frac{-6}{2}\right)^2$ , add 9 to both sides, factor the trinomial, then square root both sides and simplify.

b)

Isolate the constant c value, find $\left(\frac{-6}{2}\right)^2$ , add 9 to both sides, factor the trinomial, then square root both sides and simplify.

c)

Isolate the constant c value, find $\left(\frac{-6}{2}\right)^2$ , add -3 to both sides, factor the trinomial, then square root both sides and simplify.

d)

This trinomial cannot be solved by completing the square.

33.

What are the solutions of $x^2+3x-14=0$ ?

a)

$x=\frac{3\pm\sqrt[]{65}}{2}$

b)

$x=\frac{-3\pm\sqrt[]{65}}{2}$

c)

x = -7, 4

d)

x = -4, 7

34.

What are the solutions of $x^2-3x+14=0$ ?

a)

$x=\frac{3\pm i\ \sqrt[]{47}}{2}$

b)

$x=\frac{-3\pm i\ \sqrt[]{47}}{2}$

c)

x = -5,2

d)

x = -2, 5

35.

What are the factors and solutions of $x^2-7x-18=0$ ?

a)

(x-9)(x+2); x = -2, 9

b)

(x+9)(x+2); x = -9, -2

c)

(x-9)(x-2); x = 2, 9

d)

(x+9)(x-2); x = -9, 2

36.

What are the factors and solutions of $6x^2+19x-20=0$ ?

a)

(6x-5)(x+4); x = -4, 5/6

b)

(6x+5)(x-4); x = -5/6, 4

c)

(6x-5)(x-4); x = 5/6, 4

d)

(6x+5)(x+4); x = -4, -5/6

37.

What are the zeros of $z=-25x^2+30x$ ?

a)

x = ± 6/5

b)

x = 6/5

c)

x = 0, 6/5

d)

There are no zeros for z.

38.

What are the zeros of $k=6x^2-16x$ ?

a)

x = ± 8/3

b)

x = 8/3

c)

x = 0, 8/3

d)

There are no zeros for k.

39.

Which equation could match the graph?

a)

y = 1/3(x + 1)(x + 4)

b)

y = 1/3(x - 1)(x - 4)

c)

y = 1/3(x - 4)(x - 4)

d)

y = 1/3(x + 2.5)(x + 4)

40.

Which quadratic function is represented by the graph?

a)

y = –(x – 4)² + 5

b)

y = –(x + 4)² + 5

c)

y = –2(x – 4)² + 5

d)

y = –2(x + 4)² + 5

e)

None of these

41.

1. Which of the following may represent the graph of $y=2x^2+8x+11$ ?

a)

b)

c)

d)

42.

5. Which of the following may represent the graph of $y=-2x^2+4x+3$ ?

a)

b)

c)

d)

43.

What are the increasing and decreasing intervals for the function f(x) = (x+2)²-1?

a)

Increasing: (−∞, −2)

Decreasing: (−2, ∞)

b)

Increasing: (−2, ∞)

Decreasing: (−∞, -2)

c)

Increasing: (−1, ∞)

Decreasing: (−∞, -1)

d)

Increasing: (−∞, −1)

Decreasing: (−1, ∞)

44.

What are the increasing and decreasing intervals for the function: $g\left(x\right)=-2\left(x-3\right)^2+1$ ?

a)

Increasing: (−∞, 3)

Decreasing: (3, ∞)

b)

Increasing: (−∞, 1)

Decreasing: (1, ∞)

c)

Increasing: (2, ∞)

Decreasing: (-∞, 2)

d)

Increasing: (1, ∞)

Decreasing: (-∞, 1)

45.

What is the vertex of this equation?
y = (x + 3)² -7

a)

(3, 7)

b)

(-3, -7)

c)

(-3, 7)

d)

(3, -7)

46.

What is the vertex of the quadratic function: $\frac{1}{2}x^2-3x+\frac{25}{2}=0$ ?

a)

(3,8)

b)

(-3,-8)

c)

(-3,8)

d)

(3,-8)

47.

What are the x-intercepts of the graph of 2x² + 7x - 15 = 0?

a)

x = -3/2, 5

b)

x = -7/10, 5

c)

x = -5, 3/2

d)

x = -5, 7/10

48.

What are the x-intercepts of the graph of -4x²+25x+21 = 0?

a)

x = -7, -3/4

b)

x = -3/4, 7

c)

x = -7, 3/4

d)

x = 3/4, 7

49.

According to the Rational Root Theorem, what are the all possible rational roots?
2x³ - 11x² + 12x + 9 = 0

a)

±1,±2

b)

±1,±3,±9

c)

±1,±3±9,±1/2,±3/2,±9/2

d)

±1,±2,±1/3,±2/3,±1/9,±2/9

50.

Solve by using Rational Root Theorem:
x³ - 7x - 6 = 0

a)

1, 2, 3

b)

-1, -2, - 3

c)

-1, -2, 3

d)

1,-2,-3

51.

Divide 3x^2 - 4x - 20 by x + 2.

a)

3x + 1

b)

3x - 1

c)

3x + 10

d)

3x - 10

52.

Divide 2x^2 + 5x - 3 by x + 3.

a)

2x - 5

b)

2x - 1

c)

2x + 1

d)

2x + 9

53.

Find all zeros of the polynomial x⁵ - 5x⁴ - 64x³ + 236x² + 672x.

a)

x = 0, -7, -2, 6, 8

b)

x = 0, 7, 2, -6, -8

c)

x = -7, -2, 6, 8

d)

x = 7, 2, -6, -8

54.

Find all factors of the polynomial x⁴ - 12x³ + 49x² - 78x + 40.

a)

(x-1)(x-2)(x-4)(x-5)

b)

(x+1)(x-2)(x-4)(x-5)

c)

(x-1)(x-2)(x+4)(x-5)

d)

(x-1)(x-2)(x-4)(x+5)

55.

Find all zeros of the polynomial using synthetic division. 2x²- 3x − 2 = 0

a)

x = -1/2, 2

b)

x = -2, 1/2

c)

x = -2, -1/2

d)

x = 1/2, 2

56.

Find the zeros of the polynomial given one factor.

a)

X= 3,4,5

b)

x=-3,-4,-5

c)

x=-3,4,5

d)

x= 3, -4, -5

57.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

a)

Yes, (x-2) is a factor. There is a remainder.

b)

No, (x-2) is not a factor. The remainder is zero.

c)

Yes, (x-2) is a factor. The remainder is zero.

d)

No, (x-2) is not a factor. There is a remainder.

58.

Find the remainder when dividing 4x^4 - 6x^3 + 9x^2 - 5x + 2 by x + 3.

a)

-2

b)

11

c)

0

d)

584

59.

What is the remainder when dividing 3x^4 - 4x^3 + 5x^2 - 6x + 1 by x - 1?

a)

-1

b)

-2

c)

0

d)

3

60.

a)

(-2.55, 0), (2.55, 0)

b)

(-3, 0), (-2, 0), (2, 0), (3, 0)

c)

(0, 36)

d)

(0, -3), (0, -2), (0, 2), (0, 3)

61.

a)

y = ^_(x + 2)(x - 1)²

b)

y = -(x - 2)(x + 1)²

c)

y = (x - 2)(x + 1)²

d)

y = -x³

62.

Match the following End Behavior to their Graphs

a)

1.

Degree is Odd, Leading Coefficient is Negative

b)

2.

Degree is Odd, Leading Coefficient is Positive

c)

3.

Degree is Even, Leading Coefficient is Negative

d)

4.

Degree is Even, Leading Coefficient is Positive

63.

Check all the odd degree polynomials:

a)

b)

c)

d)

e)

64.

What is the leading coefficient?

a)

Positive

b)

Negative

c)

Odd

d)

Even

65.

In the above graph complete the following end behavior:
$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow$ _____

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow$ ____

a)

-∞
-∞

b)

+∞
-∞

c)

-∞
+∞

d)

+∞
+∞

66.

Describe the end behavior of the graph.

a)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$ $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

b)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$ $As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

c)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

d)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

67.

Select the interval where y = g(x) is decreasing

a)

(-∞, -2.6) u (2.6, ∞)

b)

(-∞, 2) u (3, ∞)

c)

(-∞, 3) u (4, ∞)

d)

None of these

68.

Select the interval where y = f(x) is increasing.

a)

(-∞, -3) u (-2, ∞)

b)

(-∞, -1.5) u (0, ∞)

c)

(-3.3, 0) u (3.3, ∞)

d)

All of these

69.

What is the domain and range in this graph?

a)

D: (-∞, ∞)

R: (-1, ∞)

b)

D: (-4, 2)

R: (-1, ∞)

c)

D: (-∞, ∞)

R: (-∞, ∞)

d)

D: (-4, 2)

R: (-2.5, 2.5)

70.

For the pictured polynomial, what is the domain and range?

a)

D: (-1, ∞)

R: (-∞, ∞)

b)

D: (-∞, 1)

R: (-∞, ∞)

c)

D: (-∞, ∞)

R: (-∞, 1)

d)

D: (-∞, ∞)

R: (-1, ∞)

71.

To find the y-intercepts, make y = 0 and solve.

a)

True

b)

False

72.

What is an asymptote?

a)

an imaginary line that your function never touches

b)

a part of your function

c)

a point on your graph

d)

a type of fruit

73.

Find the y intercept for $\frac{x^2-5x+6}{x^2-4x+3}$

a)

(0, 1) and (0, 3)

b)

(0, 2)

c)

(0, 3)

d)

(0, 6)

74.

Find the y-intercept

a)

(0, 3/2)

b)

(0,1)

c)

None

d)

(0, 2/3)

75.

What is the y-intercept of

$y=\frac{2x^2-x-3}{x-4}$

a)

(0, 2)

b)

(0, 3/4)

c)

(0, -3/4)

76.

What are the y intercept(s) of the function?

y=\frac{3}{x^2+2x-8}

a)

$\left(0,-\frac{3}{8}\right)$

b)

$\left(0,\frac{3}{8}\right)$

c)

(0,0)

d)

(0,4), (0,-2)

77.

What is the horizontal asymptote?

a)

y=6

b)

y=-6

c)

x=-2

d)

x=2

78.

What is the vertical asymptote?

a)

y=6

b)

y=-6

c)

x=2

d)

x=-2

79.

What is the y-intercept?

a)

(0, 5.5)

b)

(0, -5.5)

c)

(5.5, 0)

d)

(-5.5, 0)

80.

What is the horizontal asymptote?

a)

y=-5

b)

y=5

c)

x=0

d)

x=1

81.

What is the vertical asymptote?

a)

y=-5

b)

y=5

c)

x=0

d)

x=1

82.

Write the equation for the graph.

a)

$y=x$

b)

$y=x^2$

c)

$y=\frac{1}{x}$

d)

$y=\left|x\right|$

83.

Write the equation for the graph.

a)

$y=\frac{1}{x+3}$

b)

$y=x+3$

c)

$y=\frac{3}{x}$

d)

$y=\frac{1}{x-3}$

84.

What are the asymptotes?

a)

x= -1 y = -3

b)

x=1 y = -3

c)

x= -1 y =3

d)

x=1, y=3

85.

What are the asymptotes?

a)

x=-3, y=1

b)

x=3, y =1

c)

x=-3, y =-1

d)

x=3 y=-1

86.

What is the name of this function?

a)

Parabola

b)

Rational Function

c)

Ellipse

d)

Cubic

87.

The domain are the ______ values.

a)

y

b)

x

c)

Both x and y

88.

The range are the _____ values.

a)

y

b)

x

c)

Both x and y

89.

How is this function transformed from the parent function?

a)

Translated left and up

b)

Translated right and up

c)

Translated left and down

d)

Translated right and down

90.

How is this function transformed from the parent function?

a)

Translated left and up

b)

Translated right and up

c)

Translated left and down

d)

Translated right and down

91.

What is the range of this function?

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,3\right)U\left(3,\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,3\right)\left(4,\infty\right)$

92.

What are the decreasing intervals of this function?

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,3\right)U\left(3,\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,3\right)\left(4,\infty\right)$

93.

What is the domain of this function? #7

The dashed blue lines represent asymptotes

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,3\right)U\left(3,\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,3\right)\left(4,\infty\right)$

94.

What is the domain and range of this rational function? #44

a)

D: $\left(-\infty,\ 4\right)\ U\ \left(4,\ \infty\right)$

R: $\left(-\infty,\ 0\right)\ U\ \left(0,\ \infty\right)$

b)

D: $\left(-\infty,\infty\right)$

R: $\left(-\infty,\infty\right)$

c)

D: $\left(-\infty,\ 0\right)\ U\ \left(0,\ \infty\right)$

R: $\left(-\infty,\ 4\right)\ U\ \left(4,\ \infty\right)$

d)

D: $\left(-\infty,\infty\right)$

R: $\left(-\infty,0\right)$

95.

What are the decreasing intervals for this function?

a)

$\left(-\infty,\ 4\right)\ U\ \left(4,\ \infty\right)$

b)

$\left(-\infty,\ \infty\right)$

c)

$\left(-4,\ \infty\right)$

d)

$\left(-\infty,0\right)\ U\ \left(0,\ \infty\right)$

96.

Which of the following represents the graph below?

a)

b)

c)

d)

97.

What are the increasing intervals for this function?

a)

$\left(-\infty,\ \infty\right)$

b)

$\left(-\infty,\ 2\right)\ U\ \left(2,\ \infty\right)$

c)

$\left(-\infty,\ -2\right)\ U\ \left(-2,\ \infty\right)$

d)

$\left(-\infty,\ -3\right)\ U\ \left(-3,\ \infty\right)$

98.

What are the decreasing intervals for the function?

a)

$\left(-\infty,\ -1\right)\ U\ \left(-1,\ \infty\right)$

b)

$\left(-\infty,\ 3\right)\ U\ \left(3,\ \infty\right)$

c)

$\left(-\infty,\ -3\right)\ U\ \left(-3,\ \infty\right)$

d)

$\left(-\infty,\ 1\right)\ U\ \left(1,\ \infty\right)$

99.

Find the y intercept for $\frac{x^2-5x+6}{x^2-4x+3}$

a)

(0, 1) and (0, 3)

b)

(0, 2)

c)

(0, 3)

d)

(0, 6)

100.

Find the y-intercept

a)

(0, 3/2)

b)

(0,1)

c)

None

d)

(0, 2/3)

101.

What is the equation for the horizontal asymptote?

a)

y=1

b)

y=2

c)

x=1

d)

x=2

102.

Which one means the function goes up on the left

a)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$

b)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$

103.

Which one means the function goes down on the left

a)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$

b)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$

104.

What is the end behavior of the graph given?

a)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow2$

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow2$

b)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\propto$

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\propto$

c)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\propto$

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\propto$

d)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow1$

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow1$

105.

What is the end behavior of the function given?

a)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow2$

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow2$

b)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\propto$

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\propto$

c)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\propto$

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\propto$

d)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow0$
$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow0$

106.

What is the end behavior of the graph given?

a)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow1$

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow1$

b)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\propto$

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\propto$

c)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\propto$

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow-\propto$

d)

$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow0$

$As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow0$

107.

The end behavior of a rational function equals zero when:

a)

the degree of the numerator and denominator are equal

b)

the degree of the numerator is less than the degree of the denominator

c)

the degree of the numerator is greater than the degree of the denominator

d)

the numerator equals zero

108.

\frac{1-x}{2x+10}+3=\frac{x+8}{x+5}

a)

no solution

b)

x = 5

c)

x = -5

d)

x = -18

109.

\frac{2x+14}{x+4}-2=\frac{2x+20}{2x+8}

a)

x = -4

b)

x = 4

c)

no solution

d)

x = 6

110.

\frac{2}{x-3}-\frac{4}{x+3}=\frac{8}{x^2-9}

a)

x = -5

b)

x = 5

c)

x = 2

d)

x = 8

111.

\frac{3}{x-2}+\frac{5}{x+2}=\frac{12}{x^2-4}

a)

no solution

b)

x = 2

c)

x = -2

d)

x = 8

112.

Solve for n: $\frac{3}{2n}-\frac{3}{2n^2}=\frac{3}{n}$

a)

2

b)

1

c)

-1

d)

-4

113.

a)

x = 8.9

b)

x = 16

c)

x = 9

d)

x = 12

114.

Find the horizontal asymptote.

a)

None

b)

y=-2

c)

y=2

d)

y=0

115.

What's the horizontal asymptote of the function?

a)

y = 0

b)

No horizontal asymptote

c)

y = 1/2

d)

y = 1

116.

What is the horizontal asymptote to this function?

a)

y=4

b)

y=0

c)

y=-2

d)

y=1

117.

What is the equation of the horizontal asymptote?

a)

y = 0

b)

y = -2

c)

y = 2

d)

There isn't one

Alg 2 1st Semester Final Study Guide

Total questions: 117

Worksheet time: 10hrs 45mins

Similar Resources on Wayground