Special Exponential Functions
Presentation
•
Mathematics
•
8th - 11th Grade
•
Hard
Joseph Anderson
FREE Resource
6 Slides • 10 Questions
1
Unit 5 Lesson 1
2
3
4
Multiple Choice
Which of the following is an exponential function?
y = x2
f(x) = 3x3
y = x3
f(x) = 3x
5
Multiple Select
Which of the following are exponential functions?
f(x)=4(2)x
y=4x2
y=5x
f(x)=3x4
6
f(x) = a (b)x
a = initial value or starting amount
b= (common ratio) growth or decay factor
7
Multiple Choice
What is the initial value in y=4(2)x
4
2
x
8
Multiple Choice
What is the y-intercept in y=4(2)x
(4,0)
(0,2)
x
(0,4)
(4,2)
9
Multiple Choice
What is the y-intercept of f(x)=5(3)x
(0,5)
(0,3)
(3,0)
(5,0)
10
Multiple Choice
What is the starting amount in the problem below?
f(t) = 300(1.05)t
300
1.05
t
y
11
Multiple Choice
What is the growth rate in the problem below?
f(t) = 300(1.05)t
300
1.05
t
y
12
Multiple Choice
What is the common ratio for the function f(x) = 25 (4)x
25
4
13
Growth vs. Decay
If b > 1 then Growth
If b is a fraction
0
Both Graphs have a
Horizontal Asymptote
(graph never touches
the X-axis)
bx cannot equal 0
14
Multiple Choice
b0 =
-1
0
1
15
Multiple Choice
The y-intercept for any function in the form
y=bx
(0,0)
(0,1)
(1,0)
16
Unit 5 Lesson 1
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