How to find the inverse and then determine if the inverse is a function

How to find the inverse and then determine if the inverse is a function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

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The video tutorial explains how to solve for Y using inverse operations. It covers the process of undoing addition and squaring by applying square roots, emphasizing the importance of considering plus or minus when introducing square roots. The tutorial also discusses why distributing is not helpful in this context and finalizes the solution by rewriting Y as F inverse of X. It concludes by explaining that an inverse with a plus or minus is not a function, highlighting the difference between functions and non-functions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving for Y when it is inside parentheses and being squared?

Divide both sides by a constant

Add a constant to both sides

Subtract a constant from both sides

Multiply both sides by a constant

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When taking the square root of both sides, what must you remember to include?

An addition constant

A plus or minus sign

A division factor

A multiplication factor

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does introducing a plus or minus sign affect the nature of the inverse function?

It eliminates the need for further operations

It simplifies the function

It creates multiple possible outputs for a single input

It makes the function linear

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the inverse function when a plus or minus is included?

It becomes a linear function

It remains a function

It becomes a quadratic function

It is no longer a function

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of inverse functions, what does it mean if you get two different answers for Y?

The inverse is a function

The function is linear

The inverse is not a function

The function is quadratic