Exploring Inverse Functions: Part 2

Exploring Inverse Functions: Part 2

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Medium

CCSS
HSF-BF.B.4B, HSF-BF.A.1C, HSF-BF.B.4A

Standards-aligned

Created by

Lucas Foster

Used 1+ times

FREE Resource

Standards-aligned

CCSS.HSF-BF.B.4B
,
CCSS.HSF-BF.A.1C
,
CCSS.HSF-BF.B.4A
This video tutorial covers inverse functions, focusing on two methods to determine if functions are inverses: using composition and finding the inverse directly. It includes examples to illustrate these methods, such as proving inverses through composition and identifying non-inverse functions. A bonus question is also discussed, verifying a student's claim about inverse functions.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In example seven, what is the composition of f(g(x))?

x

x + 1

2x

x - 1

Tags

CCSS.HSF-BF.A.1C

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of composing a function and its inverse?

Undefined

x

0

1

Tags

CCSS.HSF-BF.B.4B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in proving two functions are inverses using composition?

Find the derivative

Solve for y

Rewrite the function

Substitute one function into the other

Tags

CCSS.HSF-BF.B.4B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an alternative method to prove two functions are inverses?

Graphing both functions

Finding the inverse of one function

Using derivatives

Multiplying both functions

Tags

CCSS.HSF-BF.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you start finding the inverse of a function?

Interchange x and y

Integrate the function

Solve for x

Differentiate the function

Tags

CCSS.HSF-BF.B.4A

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In example eight, what is the simplified form of f(g(x))?

x + 1

x

3x

x/3

Tags

CCSS.HSF-BF.A.1C

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What indicates that two functions are not inverses?

f(g(x)) = x

g(f(x)) = x

f(x) = g(x)

f(g(x)) ≠ x

Tags

CCSS.HSF-BF.B.4B

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