Which of the following statements is true for a function $$f(x)$$ and its inverse $$f^{-1}(x)$$ ?

$$f(f^{-1}(x)) = x$$ for all $$x$$ in the domain of $$f^{-1}$$

$$f^{-1}(f(x)) = x$$ for all $$x$$ in the domain of $$f$$

If $$g(x) = \sqrt{x+4}$$ and $$h(x) = x^2 - 4$$ , verify if $$g$$ and $$h$$ are inverse functions.

They are inverses only if $$x \geq 0$$

They are inverses only if $$x \geq -4$$

Graphically, how can you verify if two functions are inverses of each other?

Their graphs will be symmetric about the line $$y = x$$

Their graphs will intersect at the line $$y = x$$

Their graphs will be parallel to the line $$y = x$$

What is the primary condition for a function to have an inverse?

The function must be one-to-one

The function must be continuous

The function must pass the vertical line test

What color matches the shape of the inverse of the following: $$y=\sqrt{x+5}-8$$

Not a function, can't have inverse function.

What must we consider for the inverse of the following $$y=3\sqrt{x+1}$$

equation will be only the positive radical

What must we consider for the inverse of the following $$y=6(x-4)^2-2,\ \ \ x\ge4$$

equation will be only the positive radical

equation will be only the negative radical

What must we consider for the inverse of the following $$y=-6\sqrt{x-4}-2$$

equation will be positive radical only

equation will be negative radical only

A2 Unit 5 Practice

Authored by Gigi Torres

Mathematics

10th Grade

CCSS covered

Used 1+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

47 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is the inverse function found correctly?

yes

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Was the inverse function found correctly?

no,

yes

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are these the graphs of two inverse functions?

Yes

No way to tell

Tags

CCSS.HSF-BF.B.4C

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are these inverse functions?

yes

no way to tell

Tags

CCSS.HSF-BF.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are the following inverses of each other?

True

False

Tags

CCSS.HSF-BF.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are the blue and red graphs inverse functions?

yes

no way to tell

Tags

CCSS.HSF-BF.B.4B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Both A and B are correct

Neither A nor B is correct

Tags

CCSS.HSF-BF.B.4B

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

42 questions

Nombres reals

Quiz

•

10th Grade

45 questions

Modulus 9 Review- Test

Quiz

•

9th - 12th Grade

45 questions

Geometry Final Review 2024

Quiz

•

9th - 12th Grade

50 questions

Unit 1 Math Review MYP 1

Quiz

•

6th Grade - University

50 questions

Basic Math skills

Quiz

•

5th - 10th Grade

50 questions

Chapter 6 Test Review

Quiz

•

8th - 10th Grade

50 questions

Mathematics 7 Third Quarter Exam

Quiz

•

7th Grade - University

42 questions

Properties, Definitions, Theorems & Postulates oh my

Quiz

•

9th - 10th Grade

Popular Resources on Wayground

10 questions

5.P.1.3 Distance/Time Graphs

Quiz

•

5th Grade

10 questions

Fire Drill

Quiz

•

2nd - 5th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

22 questions

School Wide Vocab Group 1 Master

Quiz

•

6th - 8th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

12 questions

What makes Nebraska's government unique?

Quiz

•

4th - 5th Grade

Discover more resources for Mathematics

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade

10 questions

Factor Quadratic Expressions with Various Coefficients

Quiz

•

9th - 12th Grade

19 questions

Explore Probability Concepts

Quiz

•

7th - 12th Grade

43 questions

STAAR WEEK 1

Quiz

•

9th - 12th Grade

10 questions

Exploring Abiotic and Biotic Factors in Ecosystems

Interactive video

•

6th - 10th Grade

10 questions

Exploring Tree Diagrams in Probability

Interactive video

•

6th - 10th Grade

20 questions

Simple Probability

Quiz

•

10th Grade

11 questions

Solving Quadratic Equations by Factoring

Quiz

•

9th - 12th Grade