Practice with Exponential Functions Terms of Use    Contact Person: Donna Roberts
Directions: Read carefully and choose the best answers.

1.
Which of the following choices describes the end behavior of the function shown below?
Choose:

2.
Given the function f (x) = 4-2x. What is the percent rate of change?

Choose:
 4% 400% 6.25% 93.75%

3.
The graph of f (x) = 2x ...
Choose:
 intersects the x-axis. intersects the y-axis. intersects both axes. intersects neither axis.

4.
Given the graph shown at the right, find an exponential function to represent this graph.

Choose:
 f (x) = 2(2)x f (x) = 2(1/2)x f (x) = 4(1/2)x f (x) = 4(2)x

5.
The domain of f (x) = 7x is ...

Choose:
 all positive real numbers all reals less than zero all reals greater than one all real numbers

6.
Consider the graph of y = ex with the limited domain [-4,4]. What is the maximum value of the function on this interval?
Choose:
 1 e e2 e4

7.
The graph at the right shows a function of the form f (x) = bx.
Which statement must be true

Choose:
 b > 1 0 < b < 1 b < 0 b < -1

8.
Given f (x) = e3x.
Find the value of ln(f (-1)).

Choose:
 1 -1 3 -3

9.
The table below shows values from an exponential function of the form f (x) = abx. Which of the following equations may be represented by this table?

Choose:
 f (x) = 24(2)x f (x) = 12(2)x f (x) = 2(2)x f (x) = 4(2)x

10.
A vertical shift of the graph of y = ex changes the horizontal asymptote. What is the equation of the horizontal asymptote of the graph of y = ex+ 3?

Choose:
 x = 3 y = -3 x = -3 y = 3

11.
Given the graph of an increasing exponential function.
a) If the equation for the graph is written as y = abx, describe what is known about the values of a and b.
Choose:
 (a, 0) = x-intercept; b is greater than 0 and represents the growth factor 1 + r (where r = rate of growth) (a, 0) = x-intercept; b is greater than 0 and represents the growth factor 1 - r (where r = rate of growth) (0, a) = y-intercept; b is greater than 0 and represents the growth factor 1 + r (where r = rate of growth) (0, a) = y-intercept; b is greater than 0 and represents the growth factor 1 - r (where r = rate of growth)

b)
If the equation for the graph is written as y = aekx, describe what is known about the values of a and k.
Choose:
 (a, 0) = x-intercept; k is greater than 0 and represents the growth factor (a, 0) = x-intercept; k is greater than 0 and represents the rate of growth; ek= growth factor (0, a) = y-intercept; k is greater than 0 and represents the growth factor (0, a) = y-intercept; k is greater than 0 and represents the rate of growth; ek = growth factor

 NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation and is not considered "fair use" for educators. Please read the "Terms of Use".