Practice Page
Directions: Read carefully and choose the best answers.

1.
Which of the following choices describes the end behavior of the function shown below?
mp1
sweaterguy2
Choose:
 
mpc
mp1b
 
mp1a
mpd

 

 

2.
Given the function f (x) = 4-2x. What is the percent rate of change?
vestguy
Choose:
 
4%
-6.5%
 
6.25%
-93.75%

 

 

3.
What is the y-intercept for the function
f (x) = 3•5x ?
thinkguy2
Choose:
 
1
 0
 
3
5

 

 

4.
Given the graph shown at the right, find an exponential function to represent this graph.
blankgridprac
Choose:
 
f (x) = 2(2)x
 
f (x) = 2(1/2)x
 
f (x) = 4(1/2)x
 
f (x) = 4(2)x



5.
As x → -∞,   f (x) = 3x-1 + 5 approaches
greenshirtguy
Choose:
 
-1
 
0
 
5
 
∞

 

 

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

 

 

7.
Which function represents exponential decay?
handsupguy
Choose:
 

 
 
 

 

 

8.
Which choice is NOT true about the graph of
f (x) = ex ?
guyhandback
Choose:
 
The domain is the set of all real numbers.
 
 
It passes through the point (e,1).
  
  It is asymptotic to the x-axis.  
  It lies in Quadrants I and II.  

 

 

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?

practable
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

 

 

12.
Which exponential function of the form
f (x) = abx will pass through the points
(1, 12) and (5, 192) ?
Choose:
 
f (x) = 3 • 4x
f (x) = 4 • 3x
 
f (x) = 6 • 2x
f (x) = 2 • 6x


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