Free Printable Unit 1: Functions and Their Inverses

1.

Describe the transformation of the function g(x)= -2∣x+2∣-9

a)

Reflect the y axis, stretch vertically, left 2, down 9

b)

Reflect the x axis, stretch vertically, right 2, down 9

c)

Reflect the x axis, compress vertically, right 2, down 9

d)

Reflect the x axis, stretch vertically, left 2, down 9

2.

Solve the absolute value equation:
6∣1-5x∣-9=57

a)

{-2}

b)

{1.4, 1.8}

c)

{-2, 2. 4}

d)

{1.4}

3.

Find the Domain and Range for the graph.

a)

D:(-∞, ∞)
R:(-∞, ∞)

b)

D:(-∞, ∞)
R:[-4, ∞)

c)

D: [-4, ∞)
R:(-∞, ∞)

d)

D:(-4, ∞)
R:(-∞, ∞)

4.

Find the inverse of the function h(x)=(2/3)x+5.

a)

h^-1(x)=3(x+5)/2

b)

h^-1(x)=2(x-5)/3

c)

h^-1(x)=3(x-5)/2

d)

h^-1(x)=2(x+5)/3

5.

Solve the absolute value inequality
∣3x-12∣ + 19 ≥ 25.

a)

-6 ≤ x ≤ -2

b)

6 ≤ x ≤ 2

c)

x ≤ -6 or x ≥ -2

d)

x ≤ 6 or x ≥ 2

6.

Determine where the graph is decreasing.

a)

(-∞, -3) ∪ (-1, 2) ∪ (2, 4)

b)

(-3, -1) ∪ (4, ∞)

c)

(-∞, -2) ∪ (0, 2) ∪ (3.5, ∞)

d)

(-2, 0) ∪ (2, 3.5)

7.

Given the piece wise function, evaluate f(-17).

a)

2

b)

374

c)

614.125

d)

-204

8.

Evaluate f(5).

a)

8.93

b)

34

c)

0

d)

24

9.

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

a)

3x² +5

b)

x² +1

c)

3x² +1

d)

3x² +6

10.

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

11.

Find g(5)

a)

3375

b)

375

c)

25

d)

45

12.

If $f(n)=x^2+1$ and $g(n)=2x-5$ Find $f(n)-g(n)$

a)

$x^2-2x+6$

b)

$-x^2+2x+4$

c)

$-x^2-2x-6$

d)

$x^2-2x-4$

13.

If $f(x)=3x^2+7x$ and $g(x)=2x^2-x-1$ ,

find $(f+g)(x)$ .

a)

$11x^2-1$

b)

$5x^4+6x^2-1$

c)

$5x^2+6x-1$

d)

$5x^2+8x-1$

14.

Find the local maximum and minimum

a)

Local max at x = -3

Local min at x = -3

b)

Local max at x = 1

Local min at x = -3

c)

Local max at x = -3

Local min at x = 1

d)

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

15.

What is the relative max?

a)

x = 0

b)

x = -2.55

c)

(-∞, ∞)

d)

None

16.

Describe the end behavior of the graph.

a)

x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

b)

x → -∞, f(x) → ∞ and x→∞, f(x) →∞

c)

x → -∞, f(x) → ∞ and x→∞, f(x) → 0

d)

x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞

17.

Describe the end behavior of the graph.

a)

x → ∞, y→ ∞ and
x→ ∞, y→⁻∞

b)

x → ∞, y→ ∞ and
x→⁻∞, y→∞

c)

None of these

d)

x →∞,y→⁻∞ and
x→∞, y→⁻∞

18.

The function shown in the graph is:

a)

Even

b)

Odd

c)

Neither Even nor Odd

d)

Not a Function

19.

Function or NOT a function

a)

Function

b)

NOT a function

20.

Function or NOT a function

a)

Function

b)

NOT a function

Unit 1: Functions and Their Inverses - Review

Total questions: 20

Worksheet time: 46mins

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