Free Printable Precalc - Fall2020 Semester Final B

1.

Find the slope of the line that passes through (3,-2) and (5,7).

a)

-9/7

b)

5/2

c)

9/2

d)

2/9

2.

Write the equation of the line that passes through (-2,-3) and parallel to the following line:

2x+y=19

a)

$y=-2x-3$

b)

$y=-2x-7$

c)

$y=2x-1$

d)

$y=-\frac{1}{2}x-\frac{7}{2}$

3.

Write the equation of the line that passes through point (6,2) and is perpendicular to: 3x + 2y = 2

a)

$y=-\frac{3}{2}x+11$

b)

$y=-\frac{2}{3}x+6$

c)

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

d)

$y=\frac{2}{3}x-7$

4.

Which of the following sets of ordered pairs represents a function?

a)

{(0,-4), (1,-2), (2,0), (1,2), (0,4)}

b)

{(2,-8), (-1,-1), (0,0), (1,1), (-2,8)}

c)

{(0,3), (1,3), (2,3), (3,3), (4,3)}

d)

Both B and C

5.

Determine which equation does NOT represent a function.

a)

$x^2+y=-1$

b)

$y=x^2$

c)

$2x+3y=4$

d)

$x^2+y^2=9$

6.

Determine which graph(s) does NOT represent a function.

a)

A and D

b)

B and D

c)

D only

d)

None of the answer options

7.

Evaluate f(-5) given the following:

a)

-45

b)

14

c)

-14

d)

31

8.

Evaluate h(2):

a)

10

b)

24

c)

7

d)

4

9.

Evaluate h(0):

a)

10

b)

-10

c)

6

d)

1

10.

Find

\left(\frac{f}{h}\right)\left(2\right)

a)

2

b)

1/2

c)

4

d)

1/4

11.

Find

\left(f\cdot h\right)\left(x\right)

a)

$12x^2+16x-16$

b)

$12x^2-16$

c)

$12x^2+32x-16$

d)

$12x^2+32x+16$

12.

Find:

\left(g-k\right)\left(3\right)

a)

4

b)

86

c)

38

d)

28

13.

Find: $f\left(k\left(x\right)\right)$

a)

$6x^2-3x-29$

b)

$6x^3-7x^2-25x+18$

c)

$18x^2+21x+1$

d)

$18x^2+21x-3$

14.

$g\left(k\left(2\right)\right)$

Find:

a)

552

b)

22

c)

-51

d)

14

15.

The graph of the following function will be reflected across the x-axis.

y=-\frac{1}{2}x^2

a)

True

b)

False

16.

Select the function that best represents the transformation on the parent function, $y=x^2$ , after it bas been translated UP 3 and RIGHT 2.

a)

$f\left(x\right)=\left(x-3\right)^2+2$

b)

$f\left(x\right)=\left(x-2\right)^2+3$

c)

$f\left(x\right)=\left(x+3\right)^2-2$

d)

$f\left(x\right)=\left(x+2\right)^2-3$

17.

What transformation of the parent function, $f\left(x\right)=x^2$ , is the function $y=-\left(x+2\right)^2$

a)

Reflect across the x-axis and translate right 2

b)

Reflect across the y-axis and translate up 2

c)

Reflect across the x-axis and translate left 2

d)

Reflect across the y-axis and translate down 2

18.

The figure shows the graph of function $f$ . What is the domain of function $f$ ?

a)

$x\ge3$

b)

$0\le x\le3$

c)

$-3\le x<0$

d)

All Real Numbers

19.

What is the range of the displayed graph?

a)

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

b)

$\left[0,\ 3\right]$

c)

$\left[-4,\ 3\right]$

d)

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

20.

Is this function a polynomial?

a)

Yes

b)

No

21.

Is this function a polynomial?

a)

Yes

b)

No

22.

Classify the following as even, odd, or neither:

a)

Even

b)

Odd

c)

Neither

23.

Classify the following as even, odd, or neither:

a)

Even

b)

Odd

c)

Neither

24.

Classify the following as even, odd, or neither:

a)

Even

b)

Odd

c)

Neither

25.

Factor the polynomial completely:

a)

$\left(x+2\right)\left(x^2-4x+16\right)$

b)

$\left(x+4\right)\left(x^2-4x+16\right)$

c)

$\left(x-4\right)\left(x^2+4x+16\right)$

d)

$\left(x-2\right)\left(x^2-4x+16\right)$

26.

Factor the polynomial completely:

a)

$\left(3x^2+7\right)\left(6x-1\right)$

b)

$\left(3x^2-7\right)\left(6x-1\right)$

c)

$\left(3x^2-1\right)\left(6x-7\right)$

d)

$\left(3x^2+1\right)\left(6x-7\right)$

27.

Factor the polynomial completely:

a)

$3x\left(x-3\right)$

b)

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

c)

$\left(3x-2\right)\left(2x+5\right)$

d)

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

28.

$\frac{\left(-x^3+4x^2-x-3\right)}{\left(x+2\right)}$

a)

$-x^2+6x-13$

b)

$-x^2+2x+11\ R-29$

c)

$-x^2+2x+11$

d)

$-x^2+6x-13\ R\ 23$

29.

$f\left(x\right)=x^3+x^2-7x-4$

Use the Rational Root Theorem to find the possible roots for the function. Do NOT find the actual roots.

a)

-4, -2, -1, 1, 2, 4

b)

1, 2, 4

c)

No roots

d)

-4, -1, 1, 4

30.

$\frac{\left(x^4-3x^3+3x-10\right)}{\left(x-3\right)}$

What is the remainder?

a)

0

b)

1

c)

-1

d)

161

31.

$g\left(x\right)=x^3-2x^2-16x+32$

Factor completely given:

g\left(2\right)=0

a)

$\left(x+8\right)\left(x-8\right)\left(x-2\right)$

b)

$\left(x-4\right)\left(x+4\right)\left(x+2\right)$

c)

$\left(x^2-32\right)\left(x-2\right)$

d)

$\left(x-4\right)\left(x+4\right)\left(x-2\right)$

32.

$2x^3-x^2-21x+18$

Which is a factor?

a)

x-1

b)

x-2

c)

x-3

d)

x-4

33.

$f\left(x\right)=5x^3+x^2-7x-7$

Using the Ration Root Theorem, what are the possible roots? Do NOT solve for the actual roots.

a)

$\pm\frac{7}{5},\ \pm\frac{1}{5},\ \pm7,\ \pm1$

b)

$\pm\frac{5}{7},\ \pm\frac{1}{7},\ \pm5,\ \pm1$

c)

No roots

d)

$\pm5,\ \pm7,\ \pm1$

34.

$f\left(x\right)=x^3+2$

Find the inverse.

a)

$f^{-1}\left(x\right)=y^3+3$

b)

$f^{-1}\left(x\right)=^3\sqrt{x-2}$

c)

$f^{-1}\left(x\right)=x^3-2$

d)

$f^{-1}\left(x\right)=^3\sqrt{x+2}$

35.

$f\left(x\right)=\left(x+5\right)^3$

Find the inverse.

a)

$f^{-1}\left(x\right)=-^3\sqrt{x}+5$

b)

$f^{-1}\left(x\right)=^3\sqrt{x}+5$

c)

$f^{-1}\left(x\right)=^3\sqrt{x}-5$

d)

$f^{-1}\left(x\right)=^3\sqrt{x-5}$

36.

Use the graph to determine the intervals of increase, decrease, or constant.

a)

Decreasing on (-3, -2) and (2, 4); increasing on (-1, 1); constant on (-2, -1) and (1, 2)

b)

Decreasing on (-3, -2) and (2, 4); increasing on (-1, 1)

c)

Increasing on (-3, -2) and (2, 4); decreasing on (-1, 1); constant on (-2,-1) and (1, 2)

d)

Decreasing on (-3, -1) and (1, 4); increasing on (-2, 1)

e)

None of the above

37.

Find where the function has a local minimum (if any). What is the value of the minimum(s)?

a)

Local minimum only at x = -1; the local minimum is 0

b)

Local minimum at x = -1 and x = 1; the local minimum is 1

c)

Local minimum only at x = 0; the local minimum is 0

d)

No local minimum

e)

None of the above

38.

$\left(x+5\right)\left(x+2\right)$

Simplify and select the corresponding standard form.

a)

$x^2+3x+10$

b)

$x^2-3x+7$

c)

$x^2+7x+10$

d)

$x^2+3x-3$

39.

$-3x^5+4x^3+x^2+9$

Classify by degree.

a)

Quadratic

b)

Quartic

c)

Quintic

d)

Cubic

40.

What are the x-intercepts?

a)

x = 0

b)

x = -2

c)

x = 1

d)

All of the above

Precalc - Fall2020 Semester Final B

Total questions: 40

Worksheet time: 9hrs 17mins

Similar Resources on Wayground