Find the Inverse Function Algebraically

Find the Inverse Function Algebraically

Assessment

Interactive Video

•

Mathematics

•

11th Grade - University

•

Practice Problem

•

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to find the inverse of a function algebraically, addressing common student challenges. It outlines the steps to replace function notation, swap variables, and solve for the inverse. The tutorial also covers graphical interpretations, using Desmos for verification, and provides detailed examples, including cubic and radical functions. The importance of understanding domain and range swaps in inverse functions is emphasized.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the inverse of a function algebraically?

Check the domain

Replace F of X with Y

Solve for X

Graph the function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving for the inverse of a linear function, what is the typical domain?

All real numbers

Positive integers

Rational numbers

Negative integers

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of inverse functions, what does swapping X and Y help to achieve?

Solving for the original function

Determining the function's slope

Identifying the function's symmetry

Finding the range

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key consideration when dealing with inverse functions that have fractions?

Avoiding division by zero

Minimizing the domain

Ensuring the numerator is zero

Maximizing the range

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the range of an inverse function?

By solving for Y

By graphing the inverse function

By finding the domain of the original function

By checking the symmetry

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of a cubic function's inverse?

Negative numbers only

Positive numbers only

Rational numbers

All real numbers

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why are cubic functions unrestricted in their domain and range?

Because they are quadratic

Because they can take any real number

Because they are symmetrical

Because they are linear

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