Free Printable Functions' Unit Review

1.

Evaluate f(2) given the function:

a)

-5

b)

2

c)

4

d)

The answer does not exist.

2.

Evaluate f(0) given the following function:

a)

-3

b)

-1

c)

0

d)

4

3.

Which piece-wise function matches the graph provided?

a)

b)

c)

d)

4.

Which piece-wise function matches the graph provided?

a)

b)

c)

d)

5.

Which graph matches the piece-wise function provided?

a)

b)

c)

d)

6.

Which graph matches the piece-wise function provided?

a)

b)

c)

d)

7.

What is f(-1)?

a)

6

b)

-2

c)

\sqrt{2}

d)

Does Not Exist

8.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

9.

What are the domain restrictions for the middle piece of this function?

a)

x ≥ 1

b)

x ≥ 2

c)

2 ≤ x < 6

d)

1 ≤ x < 3

10.

What is the value of 2f(–1)?

a)

36

b)

18

c)

-18

d)

-36

11.

What is the RANGE of the function?

a)

(-∞, +∞)

b)

(-∞, 4]

c)

(-∞, 4)

d)

[0, 4]

12.

a)

The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞

b)

The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞

c)

The end behavior of the graph is x →∞, y→-∞ and x→⁻∞, y→∞

d)

The end behavior of the graph is The end behavior of the graph is x →∞,y→⁻∞ and x→∞, y→⁻∞

13.

What is the value of 2f(1)+f(-1)-f(3)?

a)

9

b)

8

c)

0

d)

None of these

14.

a)

A

b)

B

c)

C

d)

D

15.

Use the graph to evaluate f(5).

a)

f(5) = 3

b)

f(5) = -5

c)

f(5) = 6

d)

f(5) does not exist

16.

A piecewise function (f(x)) is shown in the graph. What is f when x equals 0?

a)

-4

b)

0

c)

1

d)

Does not exist

17.

What is the range of the given function:

a)

Range: $\left[0,\ \infty\right)$

b)

Range: $\left(0,\ 2\right)$

c)

Range: $\left(-\infty,0\right]$

d)

Range: all real numbers

18.

You have a summer job that pays time and a half for overtime (any hours over 40 in a week). Overtime is 1.5 times your hourly rate of $7.00/hr.

How much money will you make if you work 50 hours in one week?

a)

$385

b)

$350

c)

$525

d)

$400

19.

If your dog weighs 56 pounds, how much will you pay?

a)

$72

b)

$35

c)

$40

d)

$56

20.

If your order total is $125, what is your shipping charge?

a)

$125

b)

$7.95

c)

$5.95

d)

$9.95

e)

$3.50

21.

What is the difference in cost of a dog that weighs 15 pounds versus a dog that weighs 35 pounds?

a)

$5

b)

$20

c)

$40

d)

$60

22.

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

a)

10x²

b)

18x² + 4

c)

6x² + 4

23.

a)

3

b)

1

c)

4

d)

None of the Above

24.

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

25.

f(x) = 3x + 10

g(x) = x - 2

Find g(g(0))

a)

16

b)

4

c)

-4

d)

None of these.

26.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

a)

182

b)

40

c)

61

d)

None of the Above

27.

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

a)

8

b)

-8

c)

28

d)

None of these.

28.

$f\left(x\right)=x^2\ and\ g\left(x\right)=2x\ +\ 3$ Write an expression that represents the following composition: $g\left(f\left(x\right)\right)$

a)

$2x^2+3$

b)

$x^2$

c)

$2x\ +3$

d)

$2x^3+2x^2$

29.

a)

9

b)

3

c)

5

d)

√15

30.

Select all the following choices that mean: $\left(f\ \ \ o\ \ \ g\right)\left(x\right)$

a)

"g of f of x"

b)

"g composed with f"

c)

"f of g of x"

d)

f(g(x))

e)

g(f(x))

31.

Select all the following choices that mean: $\left(g\ \ \ o\ \ \ f\right)\left(x\right)$

a)

"g of f of x"

b)

"g composed with f"

c)

"f of g of x"

d)

f(g(x))

e)

g(f(x))

32.

How would we correctly read $\left(f\ \ \ o\ \ \ g\right)\left(6\right)$ ?

a)

"g of f of 6"

b)

"f of g of 6"

c)

"6 of f of g"

d)

"6 of g of f"

33.

All four statements below mean exactly the same thing. Which of the following is the easiest for you to understand?

a)

$\left(f\ \ o\ \ g\right)\left(-3\right)$

b)

$f\left(g\left(-3\right)\right)$

c)

"f of g of -3"

d)

substitute -3 into x in function g, then substitute that value into x in function f

e)

They're all easy for me to understand.

34.

Given $f\left(x\right)=\left|2x\right|\ \ \$ and $\ \ \ g\left(x\right)=x^2$ determine $\left(g\ \ o\ \ f\right)\left(x\right)$

a)

$\left|2x\right|^2$

b)

$\left|4x\right|$

c)

$\left|2x^2\right|$

d)

$\left|x^2\right|$

35.

Given $f\left(x\right)=2x-3\ \ \ and\ \ \ \ g\left(x\right)=x^2$ determine $\left(f\ \ o\ \ g\right)\left(5\right)$

a)

49

b)

22

c)

17

d)

47

36.

a)

A

b)

B

c)

C

d)

D

37.

What do you like most about virtual learning?

4 lines

38.

What do you like least about online learning?

4 lines

39.

On a scale of 1 (so unhappy) to 5 (totally happy), how would you rate your satisfaction with your current grade standing in Math 4?

a)

1

b)

2

c)

3

d)

4

e)

5

40.

What do appreciate or find most helpful about your daily math 4 lessons in Canvas? (Check all that apply for you personally.)

a)

Teacher Made Instructional Videos

b)

Notes/Worksheets with answers provided

c)

Online Notes from an Outside Source

d)

Instructional Video's from Online Sources

e)

Desmos Activities

Functions' Unit Review

Total questions: 40

Worksheet time: 3600secs

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