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Graphs & Key Features of Exponential Functions

Total questions: 21

Worksheet time: 14mins

Name
Class
Date
1.

Identify which functions are exponential.

a)

f(x) = 2x - 5

b)

g(x) = 3x

c)

k(x) = 3x4 - 6x + 9

d)


k(x)=3⋅(12)xk\left(x\right)=3\cdot\left(\frac{1}{2}\right)^x

2.

Which graph best represents the function f(x)=5(12)xf\left(x\right)=5\left(\frac{1}{2}\right)^x  ?

a)
b)
3.

What is the y-intercept of the function?

a)

(0,2)

b)

(0,3)

c)

(0,1)

d)

(0,-2)

4.

What is the range of the function?

a)

(3,∞)

b)

(-6,∞)

c)

(0,∞)

d)

(-∞,∞)

5.

What is the x-intercept of the exponential function?

a)

(0,1)

b)

(0,0)

c)

There is no x-intercept

6.

What is the domain of the exponential function?

a)

(-∞,∞)

b)

(0,∞)

c)

[1,∞)

d)

[-10,2]

7.

What is the y-intercept of the following function?

a)

There is no y-intercept

b)

(1,0)

c)

(0,1)

d)

(0,4)

e)

(4,0)

8.

What is the domain of the following function?

a)

(1,∞)\left(1,\infty\right)

b)

(−2,2)\left(-2,2\right)

c)

(−∞,∞)\left(-\infty,\infty\right)

9.

What is the range of the function?

a)

(0, ∞)\left(0,\ \infty\right)

b)

(−∞,0)\left(-\infty,0\right)

c)

all real numbers

10.

What is the x-intercept of the function?

a)

(0,1)

b)

(4,0)

c)

There is no x-intercept

11.

Is this exponential function increasing or decreasing?

a)

increasing

b)

decreasing

12.

Which of the following statements about the graph above is true?

a)

The range is (-∞, 0).

b)

The domain is (-∞, 0).

c)

The domain is (0,∞)

d)

The range is (0,∞)

13.

Which of the following statements about the graph above is true?

a)

The domain is (-∞,0).

b)

The range is (-∞,∞).

c)

The range is (-∞,0).

d)

The domain is (-∞,∞).

14.

Select all the exponential graphs that are increasing to infinity on the left end of the graph.

a)
b)
c)
d)
e)
15.

Select all the exponential graphs that are decreasing towards zero on the left end of the graph.

a)
b)
c)
d)
e)
16.
What is the x-intercept shown on the graph?
a)
(2, 0)
b)
(-2, 0)
c)
(0, 3)
d)
(3, 0)
17.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(3, 0)
c)
(0, 3)
d)
None of these.
18.

Identify the function's x- and y-intercepts.

a)

x-int (3,0) and y-int (0,1)

b)

x-int (0,3) and y-int (1,0)

c)

x-int (1,3) and y-int (3,1)

d)

x-int (3,0) and y-int none

19.

What are the domain and the range of the function?

a)

domain (-∞,∞) and range (-∞,∞)

b)

domain (-∞,∞) and range (-∞,3]

c)

domain (-∞, 3] and range [3,∞)

d)

domain (-∞,1] and range (-∞,∞)

20.

Describe the function's end behavior.

a)

The graph is increasing toward infinity on the left end and increasing toward infinity on the right side.

b)

The graph is decreasing toward - infinity on the left end and increasing toward infinity on the right side.

c)

The graph is increasing toward infinity on the left end and decreasing toward -infinity on the right side.

d)

The graph is decreasing toward -infinity on the left end and decreasing toward -infinity on the right side.

21.

Where is the function positive and where is it negative?

a)

positive (-∞,3) and negative (3,∞)

b)

positive nowhere and negative (-∞,∞)

c)

positive (0,1) and negative (3,0)

d)

positive (0,3) and negative (-1,0)