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Worksheets

Exponential Function Vertical Shifts

Total questions: 27

Worksheet time: 21mins

Name
Class
Date
1.

Identify the vertical shift of the exponential function f(x) = 2^x - 3.

a)

5

b)

0

c)

-3

d)

1

2.

Identify the horizontal shift of the exponential function g(x) = 2^(x+2).

a)

0

b)

2

c)

4

d)

-2

3.

What is the domain of the exponential function h(x) = 3^x?

a)

All real numbers

b)

No real numbers

c)

Only positive numbers

d)

Integers only

4.

What is the range of the exponential function y = 4^x?

a)

All negative real numbers

b)

Only integers

c)

All positive real numbers

d)

Only even numbers

5.

Find the asymptote of the exponential function f(x) = 5^x - 2.

a)

y = 0

b)

y = -2

c)

y = 5

d)

y = 2

6.

Find the asymptote of the exponential function g(x) = 2^(x-1).

a)

y = x

b)

y = 0

c)

y = 2

d)

y = 1

7.

Identify the vertical shift of the exponential function f(x) = 3^x + 4.

a)

2

b)

3

c)

5

d)

4

8.

Identify the horizontal shift of the exponential function g(x) = 2^(x-3).

a)

0

b)

1

c)

3

d)

5

9.

What is the domain of the exponential function h(x) = 4^x?

a)

Integers only

b)

No real numbers

c)

Only positive numbers

d)

All real numbers

10.

What is the range of the exponential function y = 6^x?

a)

All even numbers

b)

All positive real numbers

c)

Only the number 6

d)

All negative real numbers

11.

Which equation is depicted in the graph?

a)

y = (1/2)x

b)

y = 2x

c)

y = -(1/2)x

d)

y = -2x

12.

Which equation is depicted by this graph?

a)

y = 3x + 2

b)

y = -3x - 2

c)

y = -3x + 2

d)

y = 3x - 2

13.

Which graph matches the function y = -4(1/2)x - 2

a)
b)
c)
d)
14.

Which graph depicts the function y = 3(2)x+3 - 4

a)
b)
c)
d)
15.

y = 2x + 5 shifts the graph of y = 2x ...

a)

right 5 units

b)

left 5 units

c)

up 5 units

d)

down 5 units

16.

y = 2x+3 shifts the graph of y = 2x ...

a)

right 3 units

b)

left 3 units

c)

up 3 units

d)

down 3 units

17.

y = 2x-4 shifts the graph of y = 2x ...

a)

right 4 units

b)

left 4 units

c)

up 4 units

d)

down 4 units

18.

Which equation is depicted in the graph?

a)

y = (1/2)x

b)

y = 2x

c)

y = -(1/2)x

d)

y = -2x

19.

Which equation is depicted by this graph?

a)

y = 3x + 2

b)

y = -3x - 2

c)

y = -3x + 2

d)

y = 3x - 2

20.

Which graph matches the function y = -4(1/2)x - 2

a)
b)
c)
d)
21.

Which graph depicts the function y = 3(2)x+3 - 4

a)
b)
c)
d)
22.

y = 2x + 5 shifts the graph of y = 2x ...

a)

right 5 units

b)

left 5 units

c)

up 5 units

d)

down 5 units

23.

y = 2x+3 shifts the graph of y = 2x ...

a)

right 3 units

b)

left 3 units

c)

up 3 units

d)

down 3 units

24.

y = 2x-4 shifts the graph of y = 2x ...

a)

right 4 units

b)

left 4 units

c)

up 4 units

d)

down 4 units

25.

y = 2x - 7 shifts the graph of y = 2x ...

a)

right 7 units

b)

left 7 units

c)

up 7 units

d)

down 7 units

26.

Choose all functions that have a range of y > 0.

a)

y = 4x + 2

b)

y = 4x+2

c)

y = 4x-2

d)

y = -4x

e)

y = (1/4)x

27.

Choose all functions that have a range y < -2

a)

y = 3x - 2

b)

y = -3x - 2

c)

y = 3x-2

d)

y = -3x-2

e)

y = -(1/3)x - 2