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Worksheets

Function Characteristics

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

What is the correct end behavior?

a)

As x → - ∞, f(x) → ∞

As x → ∞, f(x) → ∞

b)

As x → - ∞, f(x) → - ∞

As x → ∞, f(x) → ∞

c)

As x → - ∞, f(x) → ∞

As x → ∞, f(x) → - ∞

d)

As x → - ∞, f(x) → - ∞

As x → ∞, f(x) → - ∞

2.

What is the range of the graph?

a)

y ≥ -1.225

b)

y ≥ -4.25

c)

All Real Numbers ℝ

d)

y ≤ -4.25

3.

What is the minimum of the graph?

a)

(0,5)

b)

(-5, 0) (1, 0)

c)

(-2, 9)

d)

It does not have one

4.

What is the correct end behavior?

a)

As x → - ∞, f(x) → ∞

As x → ∞, f(x) → ∞

b)

As x → - ∞, f(x) → - ∞

As x → ∞, f(x) → ∞

c)

As x → - ∞, f(x) → ∞

As x → ∞, f(x) → - ∞

d)

As x → - ∞, f(x) → - ∞

As x → ∞, f(x) → - ∞

5.

What is the y-intercept of the graph?

a)

(2, 0)

b)

(0, -2)

c)

(-1.225, -4.25) and (1.225, -4.25)

d)

(-1.887, 0) and (1.887, 0)

6.

What are the x-intercepts?

a)

(0,5) (-2, 9)

b)

(-5, 0) (1, 0)

c)

(-2, 9) (-5, 0)

d)

(1, 0) (0, 5)

7.

What is the y-intercept of the graph?

a)

(0,5)

b)

(-5, 0)

c)

(-2, 9)

d)

(1, 0)

8.

Is the pictured graph growth, decay, or linear or none?  

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

9.

Whats the horizontal asymptote?

a)

y=5

b)

y=0

c)

(0,5)

d)

(0,6)

10.

What is the range of the function shown below?

a)

0 < y < 12

b)

-2 < y < 5

c)

y > 0

d)

All Real Numbers 

11.

Whats the horizontal asymptote?

a)

y = 3

b)

y = -2

c)

y = -3

d)

y = 4

12.

Whats the horizontal asymptote?

a)

(0,3)

b)

y = 3

c)

y = -2

d)

y = 2

13.

What is the range of this graph?

a)

y = 6

b)

(0, -4)

c)

y > -6

d)

y < -6

14.

What is the Domain and Range of the function?

a)

D: all real numbers

R: y < 0

b)

D: all real numbers

R: y > 0

c)

D: all real numbers

R: all real numbers

d)

D: x > 0

R: y > 0

15.

Which represents exponential decay?

a)

A

b)

B

c)

C

d)

D