Practice with Exponential Functions
 Topic Index | Algebra2/Trig Index | Regents Exam Prep Center


Solve the following problems dealing with exponential functions.
You may want to have your graphing calculator handy.

1.


The graph of
....

 

 

Choose:

intersects the x-axis
 intersects the y-axis
intersects both axes
 intersects neither axis

 

 

2.


Find the domain of
.

 

 

Choose:

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

 

 

3.


Find the range of .

 

 

Choose:


 

 

 

4.


For what values of x
will the function

 be greater than
or equal to one?

Choose:

all values of x
 all x > 0
all x > 0
 all x < 0

 


 

5.


Is the function

the same as the function
 ??
 

 

Choose:

Yes
 No

 

 

6.


Consider the graph of

with the limited domain  [-4, 4].
What is the maximum value
of the function on this interval?

Choose:

1
 e
e2
 e4

 

 

7.


Which function is the inverse function of
 ?

Choose:

y = e-1
 y = e-x
y = ln x
 y = log x

 

 

8.

For the graph below shows the function
 f (x) = bx.
 Which statement must be true about b?

Choose:

b > 1
 0 < b < 1
b < 0
 b < -1

 

 

9.


Given the function

find

to the nearest thousandth.
 

Choose:

2.054
 33.115
 52.985
1,924,166.855

 


 

10.


Given:
Find the value of
.

Choose:

-3
 -1
1
3