
Graphing Logarithms Review
Presentation
•
Mathematics
•
9th Grade
•
Medium
Standards-aligned
Lauren Hall
Used 24+ times
FREE Resource
7 Slides • 18 Questions
1
Graphing Logarithms Remediation
By Mrs.Hall
2
ASYMPTOTES
The ASYMPTOTE is how far LEFT or RIGHT our graph shifts. We can find this value by taking the opposite of the number in the parentheses.
In this case, our asymptote is at x = -3
3
Multiple Choice
4
Multiple Choice
What is the vertical asymptote of the equation y=log5(x+3)+5
x = -3
y = -3
x = 5
y = 5
5
Multiple Choice
What is the Vertical Asymptote for the graph y=log2(x−1)+3
x = -1
x = 1
x = 3
x = -3
6
The DOMAIN for all logarithmic functions is
(asymptote, ∞).
In this case, our domain is (-3, ∞)
DOMAIN
7
Multiple Choice
What is the Domain?
(0,∞)
(−∞,∞)
(1,∞)
(−∞,1)
8
Multiple Choice
What is the domain of the graph y=log2(x+3)+1
(-1, ∞)
(-3, ∞)
(3, ∞)
(1, ∞)
9
The RANGE for all logarithmic functions is
(-∞, ∞).
RANGE
10
Multiple Choice
What is the range of the graph y=log2(x+3)+1
(∞, -∞)
(-∞, ∞)
(-3, ∞)
(1, ∞)
11
Left
Right
(The Asymptote)
(Always the opp.)
h
Stretch
Compression
Reflection
(if negative)
a
TRANSFORMATIONS
alog(x - h) + k
k
Up
Down
12
Multiple Select
Select all the transformations that apply.
y = log 5 (x + 1) +1
Horizontal shift left 1
Horizontal shift right 1
Vertical shift up 1
Vertical shift down 1
13
Multiple Choice
What are the transformations for the graph of ? y=log4(x−1)+5
Right 1 Up 5
Right 1 Down 5
Left 1 Up 5
Left 1 Down 5
14
Multiple Choice
15
Y-Intercept
Plug zero (0) in for the x-value and evaluate to find the y-intercept.
16
Multiple Choice
What is the y-intercept of the function y=log2(x+8)+3 ?
(0, 6)
(0, 3)
(0, 8)
(0, -8)
17
Multiple Choice
What is the y-intercept of the function: f(x)=2log (x)−1
(0, -1)
None
(0, 2)
(0, 10)
18
Let's put it all together!
19
Multiple Choice
20
Multiple Choice
(0,∞)
(−∞,∞)
(1,∞)
(−∞,1)
21
Multiple Choice
What is the Range?
(0,∞)
(−∞,∞)
(1,∞)
(−∞,1)
22
Multiple Choice
(−∞,∞)
(1,∞)
(−1,∞)
(3,∞)
23
Multiple Choice
What is the domain of this graph?
(−∞,∞)
(1,∞)
(−1,∞)
(3,∞)
24
Multiple Choice
25
Multiple Choice
Graphing Logarithms Remediation
By Mrs.Hall
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