Free Printable 1st 9 Weeks Review 2023-24

1.

If the blue is f(x)=x^2,then the red must be

a)

g(x) = x²- 5

b)

g(x) = x²+ 5

c)

g(x) = (x - 5)²

d)

g(x) = (x + 5)²

2.

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

a)

g(x) = x² - 3

b)

g(x) = x² + 3

c)

g(x) = (x - 3)²

d)

g(x) = (x + 3)²

3.

Compare the function y = 5x² to the parent function y = x²

a)

Wider

(Vert. Compress)

b)

Narrower

(Vert. Stretch)

4.

Match the equation to its description.

a)

Reflected over x and stretched by 3

b)

Stretched by 3

c)

Reflected over x

d)

Reflected over x and down 3

5.

Match the equation to its description.

a)

Reflected over x, right 2 and up 1

b)

Reflected over x, left 2 and up 1

c)

Reflected over x, right 2 and down 1

d)

Reflected over x, left 2 and down 1

6.

Describe the transformation of y = 3(x - 3)² + 3

a)

Narrow, Right, Up

b)

Narrow, Left, Down

c)

Wide, Right, Up

d)

Wide, Left, Down

7.

Match the equation to its description.

a)

Reflected over x, right 2 and up 1

b)

Reflected over x, left 2 and up 1

c)

Reflected over x, right 2 and down 1

d)

Reflected over x, left 2 and down 1

8.

Identify the vertex of f(x) = -2(x+1)² + 3

a)

(h,k)

b)

(3, 1)

c)

(-1,-3)

d)

(-1,3)

9.

What is the transformation for the function: y=1/2|x+4|

a)

Compressed and right 4

b)

Compressed and left 4

c)

Stretched and right 4

d)

Stretched and up 4

10.

Write the equation for a graph that shift left 13.

a)

y=|x-13|

b)

y=|x+13|

c)

y=|x|-13

d)

y=-13|x|

11.

When comparing the parent function y=|x|, what transformations have happened to the function

y= 2|x-3|+1

a)

up 1

b)

vertical compression

c)

vertical stretch

d)

left 3

e)

right 3

12.

1. Graph g(x) = |x-2|. Compare with the graph of f(x) = |x|.

a)

b)

c)

d)

13.

2. Graph g(x) = |x+4|. Compare with the graph of f(x) = |x|.

a)

The graph of g(x) = |x-4| is 4 units above the graph of f(x) = |x|.

b)

The graph of g(x) = |x-4| is 4 units to the left of the graph of f(x) = |x|.

c)

The graph of g(x) = |x-4| is 4 units below the graph of f(x) = |x|.

d)

The graph of g(x) = |x-4| is 4 units to the right of the graph of f(x) = |x|.

14.

What is the domain of the graph above?

a)

(-∞,∞)

b)

(-∞,2]

c)

[4,∞)

d)

[2,∞)

15.

What is the range of the graph above?

a)

(-∞,∞)

b)

(-∞,2]

c)

[4,∞)

d)

[2,∞)

16.

What transformation maps the parent function $f\left(x\right)=2^x$ to $g\left(x\right)=2^x-8$ ?

a)

Translate up 2 units

b)

Translate down 2 units

c)

Translate up 8 units

d)

Translate down 8 units

17.

What transformation maps the parent function $f\left(x\right)=3^x$ to $g\left(x\right)=3^x+4$ ?

a)

Translate up 3 units

b)

Translate down 3 units

c)

Translate up 4 units

d)

Translate down 4 units

18.

What transformation maps the parent function $f\left(x\right)=\left(\frac{1}{2}\right)^x$ to $g\left(x\right)=\left(\frac{1}{2}\right)^x+3$ ?

a)

Translate up 1 unit

b)

Translate up 2 units

c)

Translate up 3 units

d)

Translate up 1/2 unit

19.

GIven a parent function like $f\left(x\right)=5^x$ , how does the h in $g\left(x\right)=5^{x-h}$ affect the parent function?

a)

Translates the parent function horizontally (left or right)

b)

Translates the parent function vertically (up or down)

20.

What transformation maps $f\left(x\right)=2^x$ to $g\left(x\right)=2^{x-8}$

a)

Translates left 8 units

b)

Translates right 8 units

c)

Translates up 8 units

d)

Translates down 8 units

21.

What transformation maps $f\left(x\right)=3^x$ to $g\left(x\right)=3^{x+2}$

a)

Translates left 2 units

b)

Translates right 2 units

c)

Translates up 2 units

d)

Translates down 2 units

22.

Which function would translate

y=2^x

right 12 units?

a)

$y=2^x+12$

b)

$y=2^{\left(x-12\right)}$

c)

$y=12\left(2\right)^x$

d)

$y=2^{\left(x+12\right)}$

23.

What is the Range?

a)

y ≥ 6

b)

y ≤ 6

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

24.

Find the Range.

a)

All Real numbers

b)

0 < y < 11

c)

y ≥ 0

d)

y > 0

25.

What is the Domain?

a)

-3 ≤ x < 5

b)

-3 ≤ y < 5

c)

-8 ≤ x < 5

d)

-8 ≤ y < 5

26.

What is the Range?

a)

-3 ≤ y < 2

b)

-3 < y ≤ 2

c)

-7 ≤ y ≤ 2

d)

-7 ≤ y < 2

27.

What is the Domain?

a)

0 < y < ∞

b)

y ≥ 0

c)

0 ≤ x

d)

0 < x < ∞

28.

What is the Domain?

a)

-10 ≤ y ≤ 6

b)

y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All Real Numbers

29.

What is the Range?

a)

All real numbers

b)

y ≥ 3

c)

y > 3

d)

3 ≤ y ≤ 8

30.

What is the range of this function?

a)

x ≥ 2

b)

f(x) ≥ 2

c)

All Real Numbers

d)

f(x) ≤ 2

31.

What is the domain of this function?

a)

All Real Numbers

b)

f(x) ≥ -2

c)

f(x) ≥ 2

d)

x ≥ -2

32.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(f\circ g\right)\left(2\right)$

a)

$\frac{1}{4}$

b)

$\frac{1}{8}$

c)

$\frac{7}{2}$

d)

8

33.

If

f\left(x\right)=2x\

and

g\left(x\right)=2^x

, then what is

\left(g\ \circ\ f\right)\left(x\right)

?

a)

$2^x$

b)

$2^{x+1}$

c)

$2^{2x}$

d)

$2^{2x+1}$

34.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $f\left(g\left(3\right)\right)$

a)

34

b)

71

c)

35

d)

142

35.

f(x) = 3x + 10

g(x) = x - 2

Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

36.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $g\left(f\left(-1\right)\right)$

a)

2

b)

15

c)

7

d)

-9

37.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(g\circ g\right)\left(-4\right)$

a)

44

b)

-40

c)

-30

d)

-28

38.

When $f(x)=9-3x$ and $g(x)=5x-7$ , find $f(x)+g(x)$

a)

$14x-10$

b)

$-8x+2$

c)

$2x+2$

d)

$2x-2$

39.

If $g\left(x\right)=x^2+6$ and $f\left(x\right)=2x-4$ , find $g\left(f\left(x\right)\right)$

a)

$2x^2-12x-4$

b)

$2x^2+12x-4$

c)

$4x^2-16x+22$

d)

$x^3-2x^2+1$

40.

If $f\left(x\right)=2x+3$ and $g\left(x\right)=-3x-4$ , find $f\left(x\right)\cdot g\left(x\right)$

a)

$-6x^2-17x-12$

b)

$6x^2+x-12$

c)

$-x-1$

d)

$5x+7$

41.

If $f\left(x\right)=x^2-1$ and $g\left(x\right)=4x-3,$ find $\left[g\circ f\right]\left(x\right).$

a)

$-3x+1$

b)

$4x^2-7$

c)

$-2x^2+3$

d)

$5x^2+6$

42.

If $f\left(x\right)=x^2-1$ and $g\left(x\right)=4x-3,$ find $\left[f\circ g\right]\left(3\right).$

a)

$43$

b)

$91$

c)

$80$

d)

$26$

43.

a)

f(-2) = -1

b)

f(-2) = -9

c)

f(-2) = 9

d)

f(-2) = 0

44.

f(x)=4x+5
f(4)=

a)

21

b)

-11

c)

-31

d)

25

45.

g(x) = 5 - 6x
Find g(-5)

a)

g(-5) = -25

b)

g(-5) = 6

c)

g(-5) = 4

d)

g(-5) = 35

46.

a)

24

b)

-6

c)

32

d)

36

47.

r(-2) = ?

a)

r(-2) = -12

b)

r(-2) = -8

c)

r(-2) = -4

d)

r(-2) = -2

48.

If f(x)=2(3^x)+1, what is the value of f(2)?

(Substitute and be careful with order of operations)

a)

19

b)

37

c)

13

d)

20

49.

If g(x)=2x+5, what is the value of g(4)?

(a)

50.

If $h\left(x\right)=12-\frac{3}{4}x$ , what is the value of $h\left(8\right)$ ?

(a)

51.

If $g\left(x\right)=-2x^2+9$ , what is the value of $g\left(6\right)$ ?

a)

$-63$

b)

$81$

c)

$-15$

d)

$33$

52.

If $f\left(x\right)=\frac{1}{2}\left(x+5\right)-3$ , find $f\left(-9\right)$ .

a)

$4$

b)

$-5$

c)

$-10$

d)

$8$

53.

A train conductor determined the distance in miles a high speed train was from its destination using $d\left(x\right)=1375-110x$ where $x$ is the number of hours traveled. How far is the train from its destination after $8$ hours?

(a)

54.

The manager of a grocery store determined that the number of bananas remaining on the shelves at her store can be determined by the function $b\left(x\right)=150-6x$ , where $x$ is the number of hours since the store opened. How many bananas are left on the shelves after the store has been open for $7$ hours?

(a)

55.

The model

$C\left(x\right)=\ 400x+70000\$ , represents the cost in dollars a company incurs in manufacturing x items during a month. Based on this, how much does it cost to produce 100 items?

a)

$110,000

b)

$1.75

c)

$175.00

d)

$40,000

56.

The model

$C\left(x\right)=\ 400x+70000\$ , represents the cost in dollars a company has in manufacturing x items during a month. Based on this, how much does it cost to produce 100 items.

a)

$110,00

b)

$1.75

c)

$175.00

d)

$40,000

57.

Suppose the sales of a particular brand of appliance are modeled by the linear function, $S\left(x\right)=220x+2700$ represents the number of sales in year x, with x = 0 corresponding to 1982. Find the number of sales in 1992.

a)

9800

b)

9580

c)

4900

d)

4680

58.

Find the zeros.

a)

0 and 4

b)

0 and -4

c)

0

d)

-4

59.

What is the degree of every Quadratic Equation?

a)

1

b)

2

c)

3

d)

4

60.

Solve

6x² + 17x + 12 = 0

a)

x = -4/3, x = -3/2

b)

x = 9, x = 8

c)

x = 4, x = 3

d)

x = -4, x = -3

61.

Solve $f\left(x\right)=-x^2-7x-6$

a)

x = 6

b)

x = -6

c)

x = 1

d)

x = -1

e)

x = 0

62.

Solve
x² + 13x + 12 = 0

a)

x = -1, x = -12

b)

x = -1, x = -24

c)

x = -2, x = -6

d)

x = -2, x = -12

63.

Solve the following quadratic equation...

x² + 13x + 36= 0

a)

x = -2

x = -18

b)

x = -9

x = -4

c)

x = -3

x = -12

d)

x = -6

64.

Solve
x² + 9x + 20 = 0

a)

x = -2, x = -10

b)

x = -3, x = -4

c)

x = -4, x = -5

d)

x = -4, x = -6

65.

Solve the following quadratic equation...

x² + 3x + 2 = 0

a)

x = -1

x = -2

b)

x = 1

x = 2

c)

x = -1

x = 2

d)

x = 1

x = -2

66.

What are the solutions to this function?

a)

x={2}

b)

x={2,0}

c)

x={-2}

d)

x={0,-2}

67.

What are the solutions to this function?

a)

x={-2,-1}

b)

x={-3,-1}

c)

x={-1,3}

d)

x={-1,-2}

68.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

69.

What are the solutions?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

70.

What are the zeros of the quadratic function?
y = x² - 2x - 15

a)

x = -2
x = -15

b)

x = -3
x = 5

c)

x = 3
x = -5

d)

x = 1
x = -16

71.

Which of the following represents the solutions to the equation:
3x² + 4x – 20 = 0?

a)

0 and -20

b)

3.33 and -2

c)

-3.33 and 2

d)

-0.67 and -21.33

72.

What are the zeros of x²+9x+14

a)

2, 7

b)

-2, -7

c)

2, -7

d)

-2, 7

73.

Calculate the roots of the quadratic.

a)

x = 6 and 3

b)

x = 1 and 0

c)

x = 0 and 3

d)

x = 3 and 1

74.

Solve by graphing

$3x^2-2x-1=0$

Select all that apply.

a)

$x=0$

b)

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

c)

$x=1$

d)

$x=3$

e)

$x=-1$

75.

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

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

76.

$y=8x^{12}-8x^4+6x+22$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

77.

Is the function even, odd, or neither?

f(x) = x² + 2

a)

Even

b)

Odd

c)

Neither

78.

Which one of the following functions is even?

a)

f(x) = x⁴ + x³

b)

g(x) = x⁴ + x²

c)

h(x) = x⁵ + x³

d)

k(x) = x³ + x

79.

Even, odd, or neither?

a)

Even

b)

Odd

c)

Neither

80.

$y=7x^8-9x^2+33$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

81.

$y=x^2+3x+9$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

82.

Given that $g\left(x\right)$ is an odd function and that $g\left(2.5\right)=4$ , which statement must also be true?

a)

$g\left(-2.5\right)=-4$

b)

$g\left(2.5\right)=-4$

c)

$g\left(-2.5\right)=4$

d)

$g\left(4\right)=2.5$

83.

Given that $f\left(x\right)$ is an even function and that $f\left(-3\right)=19$ , which statement must also be true?

a)

$f\left(3\right)=19$

b)

$f\left(-3\right)=-19$

c)

$f\left(3\right)=-19$

d)

$f\left(19\right)=-3$

84.

The function shown in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

85.

The function in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

86.

The function shown in the graph is:

a)

even

b)

odd

c)

neither odd nor even

d)

both odd and even

87.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

88.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

89.

Is the graph an even, odd, or neither function?

a)

Even

b)

Odd

c)

Neither

90.

Even, odd, or neither?

a)

Even

b)

Odd

c)

Neither

91.

Which one of the following functions is even?

a)

f(x) = x⁴ + x³

b)

g(x) = x⁴ + x²

c)

h(x) = x⁵ + x³

d)

k(x) = x³ + x

92.

Which one of the following functions is odd?

a)

f(x) = 3x⁴ - 4x³

b)

g(x) = 5x⁴ + 3x²

c)

h(x) = 6x⁵ - x³

d)

k(x) = x⁶ + 8x²

93.

Is the function even, odd, or neither?

f(x) = 4x³

a)

Even

b)

Odd

c)

Neither

94.

f\left(x\right)=x^2-x-1;\ \left[-1,2\right]