Exponential Functions Study Guide

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9755

• 9006

• 9766

• 5433

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

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

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

A geometric sequence is defined by

a₁=5

a_n=3a_n-1

What is the value of a₄?

• 405

• 135

• 15

• 30

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

The equation y = 210(1.094)^x depicts the amount of money in a savings account after x years. What does the y-intercept represent in the equation?

• the growth factor of the account

• the initial amount of the account

• the maximum amount of the account

• the minimum amount of the account

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the range of the function?

• y > 0
• x > 0
• y ≤ 0
• x ≤ 0

Tags

CCSS.HSA.REI.D.10

An exponential function is represented in the table.

What is the average rate of change from x = 2 to x = 4?

• ³⁰⁰

• ²⁰⁰

• ²⁵

• 5

Tags

CCSS.HSF.IF.B.6

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

• 2
• 4
• (2)^x
• 8

Tags

CCSS.HSF.IF.C.7

Which formula could be used to determine the sequence?
4, 8, 16, 32,...

• a_n+1=1/2 a_n
• a_n+1=2* a_n + 4
• a_n+1=a_n + 4
• a_n+1=a_n * 2

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

A biologist studying bacteria finds that when the bacteria are exposed to ultraviolet light, the population can be modeled by an exponential decay function with 9% as the rate of decrease.

• y = 360(0.91)^x

• y = 9(0.09)^x

• y = 200(1.09)^x

• y = 100(1.9)^x

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2