Free Printable 4.1 - Exponential Functions

1.

What is the y-intercept of the function $y=4\left(5\right)^x?$

a)

(0, 0)

b)

(0, 4)

c)

(0, 5)

2.

What is the asymptote of the function $y=4\left(5\right)^x?$

a)

y = 0

b)

y = 4

c)

y = 5

3.

How has the function $y\ =\ 7\left(3\right)^x-5$ been transformed from the parent function $y\ =\ 7\left(3\right)^x$ ?

a)

Shifted up 5

b)

Shifted down 5

c)

Reflection over the x-axis

d)

Reflection over the y-axis

4.

How has the function $y\ =\ -5\left(3\right)^x$ been transformed from the parent function $y\ =\ 5\left(3\right)^x$ ?

a)

Shifted up 5

b)

Shifted down 5

c)

Reflection over the x-axis

d)

Reflection over the y-axis

5.

How has the function $y\ =\ -5\left(3\right)^x+4$ been transformed from the parent function $y\ =\ 5\left(3\right)^x$ ?

a)

Reflection over the x-axis and shifted down 4

b)

Reflection over the y-axis and shifted down 4

c)

Reflection over the x-axis and shifted up 4

d)

Reflection over the y-axis and shifted up 4

6.

Identify the y-intercept of the function $y\ =\ -2\left(3\right)^x+4$

a)

y-intercept at (0, -3)

b)

y-intercept at (0, 1)

c)

y-intercept at (0, -7)

d)

y-intercept at (0, 2)

7.

Identify the asymptote of the function $y\ =\ -2\left(3\right)^x+4$

a)

y = 3

b)

y = 1

c)

y = 4

d)

y = -2

8.

Match the correct equation with the graph.

a)

$y\ =\ -3\left(3\right)^x+2$

b)

$y\ =\ -3\left(\frac{1}{3}\right)^x+2$

c)

$y\ =\ -3\left(3\right)^x-2$

d)

$y\ =\ -3\left(\frac{1}{3}\right)^x-2$

9.

Match the correct equation with the graph.

a)

$y=-\left(\frac{1}{4}\right)^x-2$

b)

$y=4^x-2$

c)

$y=-4^x-2$

d)

$y=\left(\frac{1}{4}\right)^x-2$

10.

What is the y-intercept of the function?

a)

(0, 2)

b)

(0, 3)

c)

(0, 1)

d)

(0, -2)

11.

Which equation matches the graph?

a)

y = 2^x+3

b)

y = 2^x + 3

c)

y = 2^x

d)

y = 2^-x

12.

Which equation matches the graph?

a)

y = 2^x+3

b)

y = 2^x + 3

c)

y = 2^x

d)

y = 2^-x

13.

Is y = -5(4)^x growth or decay?

a)

Growth

b)

Decay

14.

Is y = 54(.20)^x growth or decay?

a)

Growth

b)

Decay

15.

What is the range of this function?

a)

(-∞,0)

b)

(0,∞)

c)

(-∞,4)

d)

(4,∞)

16.

What is the equation of the horizontal asymptote?

a)

y=1

b)

y=0

17.

What is the x-intercept of the exponential function?

a)

(0,1)

b)

(0,0)

c)

There is not one

18.

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

a)

4 units up

b)

4 units to the left

c)

4 units to the right

d)

4 units down

19.

Given g(x)=5^x

Write a function that is reflected over the y-axis and translated 4 units to the right.

a)

f(x)= -5^x-4

b)

f(x)= -5^x+4

c)

f(x)= 5^(x-4)

d)

f(x)= 5^-(x-4)

20.

Given g(x)=(1/2)^x

Write a function that is reflected over the x-axis and translated 4 units up.

a)

f(x)= (1/2)^-x+ 4

b)

f(x)= -(1/2)^x+4

c)

f(x)= (1/2)^x- 4

d)

f(x)= -(1/2)^x+ 4

21.

Given y=4^(x+1)determine the y-intercept

a)

(0,1)

b)

(0,4)

22.

What transformations have happened to f(x) = 2^x if the new equation is

g(x) = -2^(x+3) - 6

a)

reflects over the x-axis, left 3, up 6

b)

reflects over the x-axis, up 3, left 6

c)

reflects over the x-axis, right 3, down 6

d)

reflects over the x-axis, left 3, down 6

23.

Describe the transformation(s).

y = 4^-(x+1)

a)

Reflects over the y-axis and shifts right 1

b)

Reflects over the y-axis and shifts left 1

c)

Reflects over the y-axis

d)

Reflects over the y-axis and shifts down 1

24.

Which function represents the table of values?

a)

f(x) = 4x

b)

f(x) = x³

c)

f(x) = 4^x

d)

f(x) = 4^x-1

25.

What is the range of the function f(x) = ⅔^x

a)

(-∞, ∞)

b)

(0,∞)

c)

(-∞,0)

4.1 - Exponential Functions

Total questions: 25

Worksheet time: 22mins

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