Are the blue and red graphs inverse functions?

Kind of... the graphs reflect over y = x; however the quadratic is invertible without restriction on the domain.

No, they do not reflect over the line y = x.

Yes, the functions reflect over the line y = x.

The BLUE function is the original. Is the GREEN function the inverse?

The blue function is not invertible, but if you restrict the domain, then they could be inverses.

The BLUE function is the original. Is the PURPLE function the inverse?

There is not enough information.

Match the steps with the correct order to find the inverse function.

Restrict the domain (if necessary).

Determine the inverse for Example C in your notes: $$f\left(x\right)=\sqrt[]{x-3}-7$$

P -1 (x) = $$\left(x+7\right)^2+3$$

P -1 (x) = $$\frac{\left(x^2-3\right)}{7}$$

P -1 (x) = $$\left(x+7\right)^2-3$$

P -1 (x) = $$\sqrt[]{\frac{x-7}{3}}$$

When finding the inverse of a relation, 1st you replace f(x) with y 2nd switch the x's and y's What do you do next?

find the greatest common factor

What is the best description?

They are both functions, but not inverse functions.

They are reflected over y=x, but they are not both functions.

They are not reflected over y=x, and they are not both functions.

All x values, from left to right.

All y values, from bottom to top.

All x values from bottom to top.

All y values from left to right.

All y values, from bottom to top.

All x values, from left to right.

All x values from bottom to top.

All y values from left to right.

Square Root & Quadratic Inverses

Authored by Mallory Gillett

Mathematics

9th - 12th Grade

CCSS covered

Used 1+ times

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What does it mean to find the inverse of a function?

the x's and y's are switched

the x's and y's are divided by 2

the x's and y's are made negative

the x's and y's are the same

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Are the relations inverses?

yes

Tags

CCSS.HSF-BF.B.4B

MULTIPLE CHOICE QUESTION

5 mins • 5 pts

Tags

CCSS.HSF-BF.B.4D

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Square Root & Quadratic Inverses

What does it mean to find the inverse of a function?

Are the relations inverses?

Which is the inverse of the table?

Are the blue and red graphs inverse functions?

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