
Inverse of Cubes and Cube Roots
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
11 Slides • 8 Questions
1
We will derive the inverse of a cubic and cube root function.
I will summarize the process to derive the inverses of cubic and cube root functions.
TEK 2A.2B&2C
Lesson 4 Writing the inverse of Cubic and Cube root Functions
2
Dropdown
3
Inverses graphs reflect over the y=x line...why?
Due to the fact their x and y values switch!
Review of inverses...
4
5
Reorder
Reorder the following steps, they have been simplified...
Change f(x) to y
Switch x and y
Solve for y
Change y to f(x)
6
7
Multiple Choice
The correct inverse for example A is?
y= 3x−1
y=3x−1
y=3x+1
y=3x+1
8
9
10
Multiple Choice
The correct inverse for example B is?
f−1(x)=3x−2−5
f−1(x)=3x−5−2
f−1(x)=3x+2−5
f−1(x)=3x+5−2
11
12
13
Multiple Choice
The correct inverse for Example C is?
y=(x−3)3+7
y=(x−7)3+3
y=(x+3)3+7
y=(x+7)3+3
14
15
16
Multiple Choice
The correct inverse for example D is?
f−1(x)=3(x3−5)
f−1(x)=3(x−5)3
f−1(x)=3(x3−5)
f−1(x)=3x3−5
17
18
Multiple Choice
The correct inverse for example E is?
y=(5(x+2))3
y=35(x+2)
y=(2(x+5))3
y=32(x+5)
19
Poll
On a scale of 1-5, how confident are you in finding inverses of cubic and cube root functions?
5 - I totally understand how to find inverses no problem!
4 - I feel pretty good about finding inverses.
3 - Maybe some more practice and I'll get it better.
2 - I am struggling with a few things and need some clarification
1 - I am completely lost..... help...
We will derive the inverse of a cubic and cube root function.
I will summarize the process to derive the inverses of cubic and cube root functions.
TEK 2A.2B&2C
Lesson 4 Writing the inverse of Cubic and Cube root Functions
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