Unit 5 Exponential Functions Practice Test

Two functions are given

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 

• Both functions

  Function f

  Function g

• Neither

  Function g

  Function f

• Function g

  Function f

  Function g

• Neither

  Both functions

  Function f

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

• increasing, decreasing, increasing, decreasing

• decreasing, decreasing, decreasing, increasing

• decreasing, decreasing, decreasing, decreasing

• increasing, increasing, increasing decreasing

• 
• 
• 
• 

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, ...

• 20, 5, 1.25, 0.3125, ...

• 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?

• b = 1.03(175)^d

• b = 0.03(175)^d

• b = 175(1.03)^d

• b = 175(0.03)^d

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.

• 3000(.10)^n

• 3000(1.10)^n

Sue invests $800 in an investment that can be represented by the table below , where t is the number of years the money is invested for, and m is the value of the investment in dollars.

Select the correct the average rate of change, rounded to the nearest dollar per year, from year 2 to year 4.

• 78

• 64

• -78

• -64

The ordered pairs shown in the table are generated by the function f(x).

Which statements are true about the function f(x)? Select all that apply. (hint, there are 3)

• f(x) is an exponential function

• When x increases by 1, f(x) increases by a factor of 2.5.

• The y-intercept of the function is (0,0)

• 21,250

  0.1422

• 3556

  0.7083

• 25,000

  0.9865

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?

• 8000

  4000

  CaIiwood

• 4000

  8000

  Appletown

• 8000

  4000

  Appletown

• 4000

  8000

  Caliwood