Characteristics of Exponentials

Find the exponential equation that represents the table.

• y = 2(3)^x

• y = 3 + (3)^x

• y = 3(2)^x

• y = 6(2)^x

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(.97)^x

• f(x)=400(1-0.03)^x

• f(x)=400(1.03)^x

• f(x)=400(0.03)^x

What is the asymptote of the parent function y=2^x?

• x=0

• y=0

• x=2

• y=2

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x

• y=1.09(1400)^x

• y=1400(.91)^x

• y=1.09^x

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

• f(x) = 417(3.75)^x

• f(x) = 417(0.0375)^x

• f(x) = 417(1.0375)^x

• f(x) = 417(1.375)^x

Does the following equation represent exponential growth or exponential decay? y=105(.80)^x

• Growth

• Decay

For the function f(x) =6(3)^x , what is the y-intercept?

• (6,0)

• (3,0)

• (0,3)

• (0, 6)

Growth or decay?

• Growth

• Decay

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x