Find the Inverse Function Algebraically

Find the Inverse Function Algebraically

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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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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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the steps to find the inverse of a function that is already given in equation form?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the importance of understanding the algebraic manipulation involved in finding inverses.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

In the context of finding inverses, what does it mean for a function to be linear?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you verify that two functions are inverses of each other using their graphs?

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