Search Header Logo
  1. Resource Library
  2. Math
  3. Algebra
  4. ...
  5. Lesson 4 Writing The Inverses Of Cubic And Cube Root Functions
Lesson 4 Writing the inverses of Cubic and Cube root functions

Lesson 4 Writing the inverses of Cubic and Cube root functions

Assessment

Presentation

Mathematics

9th - 12th Grade

Practice Problem

Medium

CCSS
HSF-BF.B.4A, HSF.BF.B.3

Standards-aligned

Created by

Anastasia Avila

Used 128+ times

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

media

2

Dropdown

Question image
a=​ ​
b=​
c=​
d=​
According to the a value, the graph reflects across the ​
.

3

Inverses graphs reflect over the y=x line...why?

Due to the fact their x and y values switch!

Review of inverses...

media

4

media
media

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)

1
2
3
4

6

media

7

Multiple Choice

The correct inverse for example A is?

1

y= x13y=\ \sqrt[3]{x-1}

2

y=x31y=\sqrt[3]{x}-1

3

y=x+13y=\sqrt[3]{x+1}

4

y=x3+1y=\sqrt[3]{x}+1

8

media

9

media

10

Multiple Choice

The correct inverse for example B is?

1

f1(x)=x235f^{-1}\left(x\right)=\sqrt[3]{x-2}-5

2

f1(x)=x532f^{-1}\left(x\right)=\sqrt[3]{x-5}-2

3

f1(x)=x+235f^{-1}\left(x\right)=\sqrt[3]{x+2}-5

4

f1(x)=x+532f^{-1}\left(x\right)=\sqrt[3]{x+5}-2

11

media

12

media

13

Multiple Choice

The correct inverse for Example C is?

1

y=(x3)3+7y=\left(x-3\right)^3+7

2

y=(x7)3+3y=\left(x-7\right)^3+3

3

y=(x+3)3+7y=\left(x+3\right)^3+7

4

y=(x+7)3+3y=\left(x+7\right)^3+3

14

media

15

media

16

Multiple Choice

The correct inverse for example D is?

1

f1(x)=(x35)3f^{-1}\left(x\right)=\frac{\left(x^3-5\right)}{3}

2

f1(x)=(x5)33f^{-1}\left(x\right)=\frac{\left(x-5\right)^3}{3}

3

f1(x)=3(x35)f^{-1}\left(x\right)=3\left(x^3-5\right)

4

f1(x)=x335f^{-1}\left(x\right)=\frac{x^3}{3}-5

17

media

18

Multiple Choice

The correct inverse for example E is?

1

y=(5(x+2))3y=\left(5\left(x+2\right)\right)^3

2

y=5(x+2)3y=\sqrt[3]{5\left(x+2\right)}

3

y=(2(x+5))3y=\left(2\left(x+5\right)\right)^3

4

y=2(x+5)3y=\sqrt[3]{2\left(x+5\right)}

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

media

Show answer

Auto Play

Slide 1 / 19

SLIDE