Name:     ID: 
 
Email: 

Unit 5.1 Exponential Functions and Their Graphs

 1. 

Evaluate the function at the indicated value of mc001-1.jpg. Round your result to three decimal places.

Function                            Value

mc001-2.jpg             mc001-3.jpg
a.
mc001-4.jpg
b.
mc001-5.jpg
c.
mc001-6.jpg
d.
mc001-7.jpg
e.
mc001-8.jpg
 

 2. 

Match the graph with its exponential function.

mc002-1.jpg
a.
mc002-2.jpg
b.
mc002-3.jpg
c.
mc002-4.jpg
d.
mc002-5.jpg
e.
mc002-6.jpg
 

 3. 

Select the graph of the function.

mc003-1.jpg
a.

mc003-2.jpg
d.

mc003-5.jpg
b.

mc003-3.jpg
e.

mc003-6.jpg
c.

mc003-4.jpg
 

 4. 

Use a graphing utility to construct a table of values for the function. Round your answer to two decimal places.

mc004-1.jpg
a.
mc004-2.jpg
b.
mc004-3.jpg
c.
mc004-4.jpg
d.
mc004-5.jpg
e.
mc004-6.jpg
 

 5. 

Use the graph of mc005-1.jpg to determine the transformation that yields the graph of mc005-2.jpg.

mc005-3.jpg
a.
Shift the graph of f eight units to the left.
b.
Shift the graph of f eight units upward.
c.
Shift the graph of f eight units to the right.
d.
Shift the graph of f eight units downward.
e.
Both the graphs f and g are same.
 

 6. 

Use the graph of mc006-1.jpg to determine the transformation that yields the graph of mc006-2.jpg.

mc006-3.jpg

a.
Reflect the graph of f in the mc006-4.jpg-axis and shift six units downward.
b.
Both the graphs f and g are same.
c.
Reflect the graph of f in the mc006-5.jpg-axis and shift six units upward.
d.
Reflect the graph of f in the mc006-6.jpg-axis and shift six units upward.
e.
Reflect the graph of f in the mc006-7.jpg-axis and shift six units downward.
 

 7. 

Use the graph of mc007-1.jpg to determine the transformation that yields the graph of mc007-2.jpg.

mc007-3.jpg

a.
Reflect the graph of f in the mc007-4.jpg-axis.
b.
Shift the graph of f two units upward.
c.
Reflect the graph of f in the origin.
d.
Shift the graph of f two units downward.
e.
Reflect the graph of f in the y-axis.
 

 8. 

Evaluate the function at the indicated value of mc008-1.jpg. Round your result to three decimal places.

Function                            Value

mc008-2.jpg                 mc008-3.jpg
a.
mc008-4.jpg
b.
mc008-5.jpg
c.
mc008-6.jpg
d.
mc008-7.jpg
e.
mc008-8.jpg
 

 9. 

After mc009-1.jpg years, the value of a wheelchair conversion van that originally cost $mc009-2.jpg depreciates so that each year it is worth mc009-3.jpg of its value for the previous year. Find a model for mc009-4.jpg, the value of the van after mc009-5.jpg years.
a.
mc009-6.jpg
b.
mc009-7.jpg
c.
mc009-8.jpg
d.
mc009-9.jpg
e.
mc009-10.jpg
 

 10. 

Let Q represent a mass of radioactive radium (226Ra) (in grams), whose half-life is 1599 years. The quantity of radium present after t years is
mc010-1.jpg
Determine the quantity present after 300 years. Round to the nearest hundredth of a gram.
a.
0.00 g
b.
0.47 g
c.
5.00 g
d.
4.39 g
e.
0.88 g
 



 
         Start Over