Free Printable Ch. 2 Functions and Their Graphs

1.

State the Range.

a)

(- $\infty$ ,0]

b)

[0, $\infty$ )

c)

All Real Numbers

d)

(- $\infty$ , -4]

2.

What are the decreasing intervals?

a)

(- ∞, -1.5) & (0, 1.5)

b)

(-1.5, 0) & (1.5, ∞)

c)

(- ∞, -1.5) & (-1.5, 0)

d)

(-1.5, 0) & (0, 1.5)

3.

What are the increasing intervals?

a)

(- ∞, 0) & (2, ∞ )

b)

(-1, 0) & (2,4)

c)

(0,2) & (-3, -7)

d)

(-8, -3) & (-7, 8)

4.

State the Domain.

a)

(- $\infty$ , 3]

b)

[3, $\infty$ )

c)

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

d)

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

5.

What type of function is present?

a)

Linear Inequality

b)

Linear Equation

c)

Exponential Growth

d)

Absolute Value

6.

What transformations take place in the following equation?

$y=3\sqrt{x}+2$

a)

Vertical Stretch of 2, Up 3

b)

Vertical Stretch of 3, Up 2

c)

Vertical Stretch of 3, Down 2

d)

Vertical Stretch of 3, Left 2

7.

Which equation moves 4 down and left 3?

a)

$y=\sqrt{x-4}+3$

b)

$y=\sqrt{x+4}-3$

c)

$y=\sqrt{x-3}-4$

d)

$y=\sqrt{x+3}-4$

8.

Does the graph represent a function?

a)

Yes, because the vertical line test shows there are no repeating input values

b)

No, because the vertical line test shows there are repeating input values

9.

What family of function is this?

a)

Absolute Value

b)

Logarithmic

c)

Linear

d)

Cube Root

10.

Which functions are linear? (Check all that apply)

a)

$y=5x+1$

b)

$y=3^x-5$

c)

$y=2x-1$

d)

$y=3x^2+8x$

11.

What is the equation to this graph?

a)

f(x)= Ix+2I +1

b)

f(x)= Ix-2I +1

c)

f(x)= Ix+2I -1

d)

f(x)= Ix-2I -1

12.

Describe the transformation of the equation below from the absolute value parent function $y=-2\left|x-3\right|+3$

a)

reflected over x axis, vertical stretch by a factor 2, right 3, up 3

b)

reflected over x axis, vertical stretch by a factor 2, left 3 up 3.

c)

reflected over x axis, vertical compress by a factor 2, right 3, up 3

d)

reflected over the x axis, vertical compress by a factor 2, left 3, up 3

13.

Find h(5) using the equation.

a)

-25

b)

25

c)

3

d)

7

e)

undefined

14.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

15.

Evaluate the function when x = 6

a)

f(6) = -5

b)

f(6) = 4

c)

f(6) = 2

d)

f(6) = 7

16.

What is g(-2) if:

a)

-7

b)

7

c)

1

d)

-1

17.

What is g(4) if:

a)

-17

b)

-13

c)

13

d)

-5

18.

Find the value of $f\left(-8\right)$ .

a)

$21$

b)

$-8$

c)

$0$

d)

$9$

19.

Find the value of $f\left(12\right)$ .

a)

$-19$

b)

$29$

c)

$2$

d)

$-10$

20.

Find the value of $g\left(3\right)$ .

a)

$-10$

b)

$2$

c)

$-4$

d)

$-\frac{1}{3}$

21.

Evaluate f(3)=

a)

-1

b)

-7

c)

4

d)

5

22.

Evaluate f(-3)=

a)

6

b)

0

c)

-3

d)

9

23.

Evaluate f(-3)=

a)

-1

b)

-7

c)

4

d)

5

24.

Find

f\left(-2\right)

a)

-3

b)

-2

c)

-1

d)

0

25.

Evaluate $f\left(-2\right)$

a)

2

b)

-8

c)

0

d)

-2

26.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

27.

Evaluate f(-3)=

a)

-1

b)

-7

c)

4

d)

5

28.

f(x)=x-5

g(x)=4x

Find (f∘g)(2)

(a)

29.

Given $f\left(x\right)=2x+4$ and $g\left(x\right)=x-7$ , what is $\left(f+g\right)\left(x\right)=$

a)

3x-3

b)

x-3

c)

3x+11

d)

$3x^2+3$

30.

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

a)

$4x^2-1$

b)

$4x^2-2$

c)

$8x^2-1$

d)

$16x^2-1$

31.

Which graph represents the functions f(x) and f^-1(x)?

a)

b)

c)

d)

32.

Which of the following best describes the graph?

a)

They are both functions, but not inverse functions.

b)

They are inverse functions.

c)

They are reflected over y=x, but they are not both functions.

d)

They are not reflected over y=x, and they are not both functions.

33.

The inverse has been reflected over which line?

a)

y = x

b)

x = 0

c)

y = 0

d)

x = -y

34.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

35.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

36.

Whats is the average rate of change of the function $f\left(x\right)\ =\ 2x^2+\ 1\ at\ the\ interval\ x\ =\ 0\ and\ x\ =\ 1?$

(a)

Ch. 2 Functions and Their Graphs

Total questions: 36

Worksheet time: 1hrs 7mins

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