Name: 
 

05-05 Sample Quiz - Graphing Logarithmic Functions



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

What is the asymptote of
f(x) = log(x + 2) + 3 shown in the graph?
mc001-1.jpg


a.
mc001-2.jpg
c.
mc001-4.jpg
b.
mc001-3.jpg
d.
mc001-5.jpg
 

 2. 

Which function below has a different asymptote than the rest of the functions?


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

 3. 

Determine the domain and range of the function h(x) = log2(x+2) – 3 shown in the graph.mc003-1.jpg


a.
Domain: All Real Numbers mc003-2.jpg
Range: mc003-3.jpg
c.
Domain: mc003-6.jpg
Range: All Real Numbers mc003-7.jpg
b.
Domain: All Real Numbers mc003-4.jpg
Range:mc003-5.jpg
d.
Domain: mc003-8.jpg
Range: All Real Numbers mc003-9.jpg
 

 4. 

What is the domain of the following function which is also shown in the graph?

mc004-1.jpg
mc004-2.jpg


a.
All Real Numbers mc004-3.jpg
c.
mc004-5.jpg
b.
mc004-4.jpg
d.
mc004-6.jpg
 

 5. 

Which graph matches the equation mc005-1.jpg?
a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 

 6. 

Which function is shown by the following graph?
mc006-1.jpg


a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 

 7. 

A parent logarithmic function is defined by:
mc007-1.jpg

How could it be graphically transformed to create the graph of  the following function:
mc007-2.jpg?


a.
reflect the parent function over the y-axis and translate up 1 units.
b.
reflect the parent function over the x-axis and translate up 1 units.
c.
reflect the parent function over the y-axis and translate down 1 units.
d.
reflect the parent function over the x-axis and translate down 1 units.
 

 8. 

Given g(x) is a transformation of the graph f(x) = log2(x), determine which of the below correctly describe g(x)?
mc008-1.jpg


a.
g(x) = log2(x  – 3) + 1
c.
g(x) = log2(x  + 3) + 1
b.
g(x) = log2(x – 3) 1
d.
g(x) = log2(x  + 3) 1
 



 
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