Introductions to Exponential Functions

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

• 0.05

• 2

• 0.1

• 1

Is the following function an example of decay or growth? f(x) = 2(1.25)^x

• Exponential Growth

• Exponential Decay

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

In an exponential function, what does the 'a' represent? 

• SLOPE

• RATE OF CHANGE

• Y-INTERCEPT

• COMMON RATIO

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

• 2

• 4

• (2)^x

• 8

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Does the following equation represent an exponential growth or decay function? f(x) = 34(0.05)^x

• Growth because 34 is greater than 1

• Growth because 0.05 is between 0 and 1

• Decay because 34 is greater than 1

• Decay because 0.05 is between 0 and 1

What is the decay rate as a percent?

• 0.30%

• 30%

• 0.70%

• 70%

What is the growth rate as a percent?

• 1.25%

• 25%

• 75%

• .25%

Given f(x) = 8(1.05)^x

What is the growth rate as a percent?

• 50%

• .5%

• 5%

• .05%