Unit 5 Exponential Functions Review

Write the exponential equation that represents the given graph.

Find the average rate of change over the given interval. 

• 4
• 7
• 7/3
• 3/7

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.

What is an asymptote?

• A special bag used by hikers and athletes to carry valuables.

• an imaginary vertical line that helps define the reflection of a graph.

• an imaginary horizontal line that helps define where the graph will approach, but never reach.

• another term for vertical intercept.

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

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

• Growth
• Decay
• Linear
• None

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

• Growth
• Decay
• Linear
• None

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

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

• (.27)^x
• .27
• 13
• 3.51

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

• 2
• 4
• (2)^x
• 8