WorksheetsGraphing Logarithms & Exponentials
Total questions: 35
Worksheet time: 2hrs 59mins
Name
Class
Date
1.
Classify
f(x)=4/5(.8)x-9
f(x)=4/5(.8)x-9
a)
Exponential Growth
b)
Exponential Decay
2.
What is the horizontal asymptote for the graph of
f(x)=-2(3)x+4-8 ?
f(x)=-2(3)x+4-8 ?
a)
y=8
b)
y=-8
c)
x=-8
d)
x=-4
3.
What is the horizontal asymptote for the graph of
f(x)=13(0.5)x-6 ?
f(x)=13(0.5)x-6 ?
a)
y=0.5
b)
y=13
c)
y=6
d)
y=0
4.
What is the equation that best represents the graph?
a)
y=2y
b)
y=2x
c)
y=2-x
d)
y=x2
5.
What is the domain and range of the function y=2x ?
Use the graph to help!
Use the graph to help!
a)
Domain: All Real Numbers
Range: y>0
Range: y>0
b)
Domain: All Real Numbers
Range: y>1
Range: y>1
c)
Domain: −2<x<∞
Range: y>0
Range: y>0
d)
Domain: −∞<x<∞
Range: y>0
Range: y>0
6.
Using the parent function y=3x what would the graph of y=3x+1 look like?
a)
Horizontal shift left one unit
b)
Horizontal shift right one unit
c)
Vertical shift up one unit
d)
Vertical shift down one unit
7.
Which function is exponential?
a)
f(x)
b)
h(x)
c)
g(x)
8.
What is the Vertical Asymptote?
a)
x=5
b)
x=0
c)
y=0
d)
x=1
9.
What is the Domain?
a)
x > 0
b)
All Real Numbers
c)
x > 1
d)
x < 1
10.
What is the Range?
a)
y > 0
b)
All Real Numbers
c)
y > 1
d)
y < 1
11.
What is the x-intercept of log7(x)?
a)
Pizza
b)
-1
c)
0
d)
1
12.
Do logarithms have a y-intercept?
a)
Sometimes
b)
Yes
c)
No
d)
Mrs. Graham is awesome.
13.
Match the graph with its equation
a)
y = log6(-x) + 1
b)
y = log6(x − 2) + 1
c)
y = log6(x + 2) - 1
d)
y = log(x-8) + 1
14.
Logarithms and Exponentials are what?
a)
parallel
b)
perpendiular
c)
inverses
d)
congurent
15.
Match the graph with its equation
a)
y = log5 (x + 1) + 1
b)
y = log5 (x - 1) + 1
c)
y = log5 (x2) + 1
d)
y = log5 (x)-1
16.
What is the domain of log(x)?
a)
(-∞, ∞)
b)
[0, ∞)
c)
(0, ∞)
d)
Pickle
17.
What are the transformations of this graph?
a)
Right 1 Up 5
b)
Right 1 Down 5
c)
Left 1 Up 5
d)
Left 1 Down 5
18.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
19.
Where is the asymptote?
a)
x = 1
b)
y = 1
c)
x = -1
d)
y = -1
20.
Match the graph with its equation
a)
y = log4 (x)+2
b)
y = log4 (x + 2) + 1
c)
y = log4 (x - 1) + 2
d)
y = log4 (-x + 2)
21.
Pick the equation that matches the graph
a)
A
b)
B
c)
C
d)
D
22.
Describe the transformations of f(x)= -log2(x+1)
a)
left 1
b)
left one & over the y-axis
c)
left one & over the x-axis
d)
right one & over the x axis
23.
Match the graph with its equation
a)
y = log6(-x) + 1
b)
y = log6(x − 2) + 1
c)
y = log6(x + 2) - 1
d)
y = log(x-8) + 1
24.
Match the graph with its equation
a)
y = log4 (x)+2
b)
y = log4 (x + 2) + 1
c)
y = log4 (x - 1) + 2
d)
y = log4 (-x + 2)
25.
Evaluate the following logarithm:
log327
a)
3
b)
2
c)
-3
d)
1/3
26.
Write as one logarithm. Simplify, if possible.
log39 + log327
log39 + log327
a)
-1
b)
5
c)
4
d)
1
27.
Write as one logarithm. Simplify, if possible.
log2800 - log2100
log2800 - log2100
a)
8
b)
3
c)
-3
d)
1
28.
Evaluate.
log381
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
29.
Use Desmos approximate the log.
a)
A
b)
B
c)
C
d)
D
30.
Logarithmic functions are the inverse of...
a)
Linear Functions
b)
Exponential Functions
c)
Quadratic Functions
d)
Polynomial Functions
31.
Evaluate the following logarithm:
log151
a)
1
b)
0
c)
-1
d)
1/2
32.
Evaluate the following logarithm:
log84
a)
2/3
b)
3/2
c)
3/4
d)
1/2
33.
Evaluate the following logarithm:
log636
a)
3
b)
2
c)
1
d)
0
34.
Evaluate the following logarithm:
log1632
a)
4/3
b)
3/4
c)
5/4
d)
4/5
35.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
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