Introduction to Exponential Functions and Graphing

Identify the y-intercept of the graph of the exponential function: y=3\left(\frac{1}{2}\right)^x

• (3,0)

• (1/2, 0)

• (0,0)

• (0,3)

What is the intercept of the exponential function?

In the following decreasing exponential graph

• the base is greater than one

• the base is between 0 and 1

• the base is zero

• the base is a negative value

Is the pictured graph increasing, decreasing, or neither?

• Increasing

• Decreasing

• Neither

What is the x-intercept of the exponential function? 

• (0,1)

• (0,0)

• There is not one

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

True or False: This is an exponential function.

• True

• False

What is the initial value of the situation represented by f(x)=0.05(2)^x?

• 0.05

• 2

• 0.1

• 1

Which variable represents time passed in the function y=ab^x?

• y

• a

• b

• x