Name: ________________________ Class: ___________________ Date: __________
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?
a.
b.
____
c.
d.
x  2
y  2
2. Which function below has a different asymptote than the rest of the functions?
a.
b.
____
x4
y4
a (x )  6  log 5 (x  2 )  3
b (x )  4  log 5 (x  2 )  3
c.
d.
c (x )  4  log5 (x  1 )  3
d (x )  4  log 5 (x  2 )  7
Domain: x  3
Range: All Real Numbers
Domain: x  2
Range: All Real Numbers
3.
Determine the domain and range of the
function h(x) = log2(x+2) – 3 shown in the
graph.
a.
Domain: All Real Numbers
Range: y  3
c.
b.
Domain: All Real Numbers
Range: y  0
d.
1
ID: A
Name: ________________________
____
ID: A
4.
What is the domain of the following function
which is also shown in the graph?
y  ln(x  2)
____
a.
All Real Numbers
c.
xe
b.
x  2
d.
x  e
5. Which graph matches the equation y  log 3 (x ) ?
a.
c.
b.
d.
2
Name: ________________________
____
6. Which function is shown by the following graph?
a.
b.
____
ID: A
f (x )  log 5 (x  2 )
f (x )  log 2 (x  2 )
c.
d.
f (x )  log 5 (x  2 )
f (x )  log 2 (x  2 )
7. A parent logarithmic function is defined by:
p (x )  ln(x )
How could it be graphically transformed to create the graph of the following function:
t (x )  ln (x)  1?
a.
b.
c.
d.
____
reflect the parent function over the y-axis and translate up 1 units.
reflect the parent function over the x-axis and translate up 1 units.
reflect the parent function over the y-axis and translate down 1 units.
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)?
a.
b.
g(x) = log2(x – 3) + 1
g(x) = log2(x – 3) – 1
c.
d.
3
g(x) = log2(x + 3) + 1
g(x) = log2(x + 3) – 1