Exponential Functions Introduction

Which does y= 2(.5)^x represent?

• Exponential Growth

• Exponential Decay

Consider the equation y=200(1.08)^x which models the increase in value of an autographed Annie program. Let y = the value of the item, let x = the number of years since the performance. What does the 1.08 in the equation indicate?

• The value of the item is increasing by $1.08 each year.

• The value of the item is increasing by 1.08% each year.

• The value of the item will increase to $200 1.08 years after purchase.

• The value of the item is increasing by 8% each year.

A population of mutant venus fly trap plants are taking over an island in the South Pacific, capturing everything from insects to small rodents. When they were first discovered they covered 4 square kilometers. As the population grows, the plants spread and cover more land. Use the table to write an equation.

• y=4(4)^x

• y=4(2.68)^x

• y=4(1+1.67)^x

• y=4(1.67)^x

An exponential function will have a common _____ between y-values.

Is the following exponential function increasing or decreasing?

• increasing

• decreasing

Exponential growth or decay?

• Exponential Growth

• Exponential Decay

Exponential growth or decay?

• Exponential Growth

• Exponential Decay

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

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

• SLOPE

• RATE OF CHANGE

• INITIAL AMOUNT

• GROWTH OR DECAY FACTOR

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

• SLOPE

• RATE OF CHANGE

• INITIAL AMOUNT

• GROWTH OR DECAY  FACTOR