
Transformations of Exponential & Logarithmic Functions
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
+9
Standards-aligned
Edgar Rodriguez
Used 149+ times
FREE Resource
8 Slides • 20 Questions
1
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2
Multiple Choice
if y=2x what is y when x = 0, 2, 4?
1, 2 and 8
1, 4 and 16
0, 4 and 8
1, 2 and 8
3
Exponential Functions have the variable as an exponent
The base can be any positive number
The domain of exponential functions is always all real numbers
the range for the parent is (0,∞)
The parent function has a horizontal asymptote at y=0.
The y-intercept is at (0,1)
4
5
Multiple Choice
Which of the following is an exponential function?
y = x2
f(x) = 3x3
y=(−2)x
f(x) = 3x
6
If your graph is translated vertically, your asymptote and range will be affected
Remember that the range for the parent function is (0,∞)
The asymptote for the parent function is y=0
7
Multiple Choice
Identify the asymptote of the function −3(3)x+4
y = -3
y = 1
y = 4
8
Multiple Choice
Determine the range for the function
f(x) = 3(2)x-4 + 5
[5,∞)
(5,∞)
[4,∞)
(4,∞)
9
Multiple Choice
What is the range of this function?
(-∞,0)
(0,∞)
(-∞,4)
(4,∞)
10
11
Multiple Choice
The parent function f(x)=3x is shown in red and is translated. What is the equation of the green graph?
g(x)=3x+2
g(x)=3x−2
g(x)=3x−2
g(x)=3x+2
12
Multiple Choice
How has the function 7(3)x−5 been transformed from the parent function 7(3)x ?
Shifted up 5
Shifted down 5
Reflection over the x-axis
Reflection over the y-axis
13
Multiple Choice
What is the domain of the function shown below?
(-2,5)
(0,12)
(0,∞)
All Real Numbers
14
Multiple Choice
How has the function 7(3)x−5 been transformed from the parent function 7(3)x ?
Shifted up 5
Shifted down 5
Reflection over the x-axis
Reflection over the y-axis
15
Multiple Choice
−3(3)x+2
−3(31)x+2
−3(3)x−2
−3(31)x−2
16
17
18
Multiple Choice
Using the parent function y=log3x what would the graph of y=log3(x+5) look like?
Horizontal shift left 5 units
Horizontal shift right 5 units
Vertical shift up 5 units
Vertical shift down 5 units
19
Multiple Choice
Where is the asymptote?
x = 1
y = 1
x = -1
y = -1
20
Multiple Choice
Find the corresponding graph of
log3(x−1)+4
21
Multiple Choice
What is the change in the graphs from f(x) to g(x)?
f(x)=log8x to g(x)=log8(x+9)−7
Right nine and down seven
Left nine and down seven
Left nine and up seven
Right nine and up seven
22
Multiple Choice
What is the range of y=log3(x−3)−2
(−∞,∞)
(2,∞)
(−2,∞)
(−∞,2)
23
The domain represents all possible input values for a function. In this case, the domain is (1, ∞) because the function is defined for all real numbers greater than 1.
24
Multiple Choice
What is the domain?
(-∞, ∞)
(0, ∞)
[1, ∞)
(1, ∞)
25
Multiple Choice
What is the Vertical Asymptote for the graph y=log2(x−1)+3
x = -1
x = 1
x = 3
x = -3
26
Multiple Choice
27
Multiple Choice
What is the asymptote for the logarithmic function
f(x)=log(x−1)
x=1
x=-1
y=1
y=-1
28
Multiple Choice
What is the transformation of the logarithmic function
f(x)=log (x+3)−1
left 3, right 1
right 3, down 1
right 3, up 1
left 3, down 1
​
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