Free Printable Final Exam Review

1.

a)

Function

b)

Not a Function

2.

What is the range?

a)

-7≤x≤6

b)

-7<x<6

c)

-8<y<2

d)

-8≤y≤2

3.

Identify the domain of the following relation:

a)

{-6, 14, 2, 28}

b)

{(-6,14), (0,32), (2,38), (4,44)}

c)

{-6, 0, 2, 4}

d)

{14, 32, 38, 44}

4.

What is the average rate of change between (0, -3) and (1, 0)?

a)

-3

b)

3

c)

0

d)

2

5.

For the function f(x) = 4x + 2, find x such that f(x) = 2.

a)

10

b)

2

c)

-2

d)

0

6.

Which of the following functions have been REFLECTED over the x-axis?

a)

$y=\sqrt{x}-4$

b)

$y=-\sqrt{x+4}$

c)

$y=4\sqrt{x}-1$

d)

$y=\sqrt{x-4}$

7.

Which of the following is a RADICAL function?

a)

b)

c)

d)

8.

If a Radical function has a DOMAIN of $\left(-3,\ \infty\right)$ and a RANGE of $\left(5,\ \infty\right)$ , what is its equation?

a)

$y=\sqrt{x-3}+5$

b)

$y=\sqrt{x+3}+5$

c)

$y=\sqrt{x-5}-3$

d)

$y=\sqrt{x+5}+3$

9.

Write the linear regression equation for the following data points. Round to the nearest tenth.

a)

$y=-0.83x+0.61$

b)

$y=-0.83x+0.63$

c)

$y=0.83x+-0.8$

d)

$a^2+b^2=c^2$

10.

The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?

a)

A. 50 min

b)

B. 80 min

c)

C. 45 min

d)

D. 60 min

11.

Determine the curve of best fit.

a)

y = -2.7x + 7.4

b)

y = 0.95x²- 2.08x - 0.75

c)

y = -.05x - 3.26

d)

y = 0.95x²+ 2.08x + 0.75

12.

Based on the table, which function can best be used to model this situation?

a)

h(t) = 99t² + 858

b)

h(t) = -4.9t² + 295t + 0.6

c)

h(t) = -4.9t² + 295t + 2

d)

h(t) = 99t² + 1,470.3

13.

Find the height of the ball when it traveled a distance of 10 feet.

a)

12.8 ft

b)

13.5 ft

c)

11.1 ft

d)

17 ft

14.

What is Mrs. Gordon's rate from 0 to 2 seconds?

a)

2.5 feet per second

b)

.4 feet per second

c)

5 feet per second

d)

.2 feet per second

15.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

16.

What is the average rate of change from x=0 to x=1

a)

-3

b)

3

c)

0

d)

2

17.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

18.

Find the average rate of change over the given interval.

a)

3

b)

1.5

c)

1

d)

0.67

19.

$f\left(x\right)=\left|x\right|$ is called a(n) __________.

a)

quadratic function

b)

radical expression

c)

exponential function

d)

absolution value function

20.

In a piecewise-defined function, a(n) _____ is used to indicate that a point is not included in the graph.

a)

closed circle

b)

open circle

c)

x

d)

star

21.

Use the graph to find the corresponding y-value when x = 2.

a)

6

b)

4

c)

5

d)

2

22.

Changing $f\left(x\right)=x^2$ into $f\left(x\right)=-x^2$ causes a ____.

a)

vertical stretch

b)

horizontal stretch

c)

translation

d)

reflection

23.

Changing $f\left(x\right)=x^2$ into $f\left(x\right)=6x^2$ creates a ____.

a)

vertical stretch

b)

horizontal stretch

c)

vertical compression

d)

horizontal compression

24.

Changing $f\left(x\right)=x^2$ into $f\left(x\right)=\frac{1}{3}x^2$

a)

vertical stretch

b)

horizontal stretch

c)

vertical compression

d)

horizontal compression

25.

Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5

a)

Shifted up 5 units
Shifted right 3 units
Stretched vertically by a factor of 3

b)

Shifted up 5 units
Shifted left 3 units
Stretched vertically by a factor of 3

c)

Shifted down 5 units
Shifted left 3 units
Stretched vertically by a factor of 3

d)

Shifted down 5 units
Shifted left 3 units
Stretched vertically by a factor of 1/3

26.

Describe the transformation of y = f(x) for the new function
y = 1/5f(x)

a)

The graph of y = f(x) compressed horizontally by a factor of 1/5

b)

The graph of y = f(x) was stretched horizontally by a factor of 5

c)

The graph of y = f(x) was compressed vertically by a factor of 1/5

d)

The graph of y = f(x) was stretched vertically by a factor of 5

27.

Identify the transformations.

a)

horizontal shift to the left 2 and vertical stretch by a factor of 3

b)

horizontal shift to the right 2 and vertical stretch by a factor of 3

c)

horizontal shift to the right 2 and vertical shrink by a factor of 3

d)

horizontal shift to the left 2 and vertical shrink by a factor of 3

28.

What does it mean to find the inverse of a function?

a)

switch the x's and y's

b)

divide the x's and y's by 2

c)

make the x's and y's negative

d)

make the x's and y's the same

29.

f(x) = -4x - 12

What is f^-1(x)?

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

30.

What are the inverse points for the coordinates:

(3, 0) , (2, -4), (5, 5) and (-6,8)

a)

(3,0) , (2, -4) , (5,5) , (6,8)

b)

(0,3) , (-4,2) , (5,5) , (8,-6)

c)

(3,2), (0, -4), (5, -6), (5,8)

31.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

32.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

Identical lines

c)

Intersecting lines

33.

a)

(3,-6)

b)

(-6,3)

c)

(-5,0)

d)

(0,-5)

34.

-4x-2y=-12
4x+8y=-24

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)

35.

4x+8y=20
-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

36.

Solve the system of linear and quadratic equations:

y = 5

y = 2x² - 16x + 29

a)

(6, 5) and (2, 5)

b)

(2, 6)

c)

(6, 2)

d)

(5, 6) and (5, 2)

37.

Find the solution:
y = x² - 4x + 6
y = x + 2

a)

(3, 1) and (6, 4)

b)

(-1, 1) and (4, 2)

c)

(1, 3) and (4, 6)

d)

(1, 4) and (3, 6)

38.

Determine the solution to the given linear-quadratic function.

a)

(0, 0)

b)

(3, 0)

c)

(2, -3)

d)

(-3, 2)

39.

Given
f(x) = 2x² + 5x - 17,
find f(-1).

a)

f(-1) = -20

b)

f(-1) = -24

c)

f(-1)= -10

40.

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

a)

-42

b)

-26

c)

-18

d)

None of these.

41.

What is the domain of the function?

a)

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

b)

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

c)

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

d)

$\left(0,\ 3\right)$

42.

f(x) = 2x - 5

g(x) = -4x - 2

Find f(g(-2))

a)

25

b)

-25

c)

-7

d)

7

43.

Given f(x) = x² - 3 and g(x) = x - 3, find f(g(f(3))).

a)

0

b)

3

c)

6

d)

9

44.

Which of the following is NOT a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

45.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

46.

Match

a)

y < x−2
y < 3

b)

y > -x+2
y > 3

c)

y < -x+2
y < 3

d)

y < -x+2
y > 3

47.

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

a)

x + y ≥ 6
32x + 20y ≤ 150

b)

x + y ≥ 632
x + 20y ≥ 150

c)

x + y ≤ 6
32x + 20y ≤ 150

d)

x + y ≤ 6
32x + 20y ≥ 150

48.

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

a)

x + y < 10

2x + 3y ≥ 20

b)

x + y ≤ 10

2x + 3y ≥ 20

c)

x + y ≤ 10

2x + 3y > 20

d)

x + y < 10

2x + 3y > 20

49.

Evaluate the piecewise function for f(-2). Type only the number in the answer.

(a)

50.

Evaluate the piecewise function for f(6). Type only the number in the answer.

(a)

51.

Which graph represents f(x)?

a)

b)

c)

d)

52.

Which graph represents f(x)?

a)

b)

c)

d)

53.

For a cellular phone billing plan, $50 per month buys 400 minutes or less. Additional time costs $0.30 per minute. Let the monthly cost C(x) be a function of the time x.

Which piecewise function represents this situation?

a)