
Exponential Functions & Shifts
Presentation
•
Mathematics
•
9th - 11th Grade
•
Easy
+1
Standards-aligned
Teri Salter
Used 59+ times
FREE Resource
6 Slides • 18 Questions
1
Exponential Functions & Shifts
Domain, Range, Growth, Decay, and Transformations
2
Domain & Range of Functions
Domain--set of all x-values (For any function, the domain is __________)
Range--set of all y-values (For exponential functions, we look at the ___________ to determine our range.)
3
Multiple Choice
(Click on the image to enlarge, and then select the correct answer.)
A
B
C
D
4
Multiple Choice
5
Multiple Choice
What is the domain of this graph?
x = -10
−∞≤x≤∞
x>0
x < 10
6
Multiple Choice
7
Exponential vs. Linear Lesson: Growth and Decay
I can determine if a function is modeling growth or decay.
I can create a table for a function.
I can evaluate a function.
8
Positive Rate of Change
Previously, we've discussed how linear functions are increasing when they go upward from left to right on a graph
We also know a linear function if its m-value (slope) is positive
9
Negative Rate of Change
Previously, we've discussed how linear functions are decreasing when they go downward from left to right on a graph
We also know a linear function if its m-value (slope) is negative
10
Poll
Exponential functions use the terms "growth" and "decay" instead. Which of the two graphs do you think is "growing" from left to right, and could be labeled "growth"? Click on your choice.
11
Multiple Choice
12
Multiple Choice
Which of the graphs is exponential decay?
13
Multiple Choice
14
Multiple Choice
15
Multiple Choice
16
Multiple Choice
Is the pictured graph growth, decay, or linear or quadratic?
Growth
Decay
Linear
Quadratic
17
Multiple Choice
Which represents exponential decay?
A
B
C
D
18
Shifts of Exponential Functions
Parent Function:
y=bx
The asymptote is at 0, and there is no movement along the x-axis or y-axis (h = 0, and k = 0, a = 1)
19
Multiple Choice
20
Multiple Choice
21
Multiple Choice
22
Multiple Choice
23
Multiple Choice
What transformations occur in the following function?
right 3, up 2
left 3, up 2
left 3, down 2
right 3, down 2
24
Multiple Choice
Exponential Functions & Shifts
Domain, Range, Growth, Decay, and Transformations
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