Unit 5 Introduction to Exponential Functions practice test

For each input/output pair below, determine whether it satisfies Function f, Function g, Both functions, or Neither function. 

Input:   0       Output:    3

Input:   1       Output:    6

Input: 2         Output:  10

• Neither function

  Function f

  Function g

• Both functions

  Function g

  Function f

• Both functions

  Function f

  Function g

• Both functions

  Neither function

  Function f

For each exponential function, indicate whether the graph will be increasing or decreasing.

• increasing

  decreasing

  increasing

  decreasing

• decreasing

  decreasing

  decreasing

  decreasing

• decreasing

  decreasing

  increasing

  increasing

• increasing

  increasing

  increasing

  increasing

• 
• 
• 
• 

Which number pattern is a function that can be described by an exponential equation with a common factor of 4? Select THREE answers that are correct.

• -5, -1, 3, 7, 11, ...

• 1, 4, 16, 64, 256, ...

• 0.05, 0.2, 0.8, 3. 2, 12.8...

A herd of 175 buffalo were crossing the plains.  Every day, the amount of buffalo in the herd increased by an average of 3%.
The amount of buffalo, b, can be represented by an exponential function, where d represents the number of days since the 175 buffalo started.  What is the equation of this exponential function?

A state conservation agency reports that there are currently 3,000 deer in a forest.  The agency also reports that the deer population is increasing by 10% each year.  Write an equation that models the deer population after n years.

• v(4)=13050.16

  4

  $13050.16

• v(4)=21250.00

  8.5

  $21250.00

• v(4)=25000.00

  4

  $25000.00

• v(4)=13050.16

  8.5

  $13050.16

In order to predict future housing needs, the population of two towns, Appletown and Callwood, have been monitored and plotted on a graph for the past four years. The results are shown on the graph.

How many people did the town of Callwood have initially?

How many people did the town of Appletown have initially?

Which town more closely follows an exponential pattern?

• 4000

  8000

  Appletown

• 8000

  4000

  Callwood

• 4000

  8000

  Callwood

• 8000

  4000

  Appletown

• final value

  growth rate

  decreasing

  1.06%

• initial value

  growth factor

  increasing

  6%

• final value

  growth factor

  decreasing

  6%

• initial value

  growth rate

  increasing

  1.06%

The County of Rodville conducted a study to determine its deer population. In 2010, the deer population of Rodville was estimated to be 250. The annual growth rate of the deer population in this area is expected to be about 5%. The graph represents the deer population in Rodville as a function of the number of years that have passed since the study in 2010.

Choose the best description of the domain and range of the function.

• Domain: all positive real numbers

  Range: all whole numbers from 250 and above

• Domain: all integers

  Range: all whole numbers from 250 and above

• Domain: all positive real numbers

  Range: all whole numbers from 0 to 250.

• Domain: all integers

  Range: all positive real numbers