P3.4: Function Inverses

Last updated about 4 years ago

17 questions

Note from the author:

Instructions

P3.4: Function Inverses

Last updated about 4 years ago

17 questions

Note from the author:

Find the inverses of the following functions.  Use "y=..." format, no spaces.

Watch this video to review finding inverses of linear functions.
Watch this video to review finding inverses of quadratic functions.

Instructions

Find the inverses of the following functions.  Use "y=..." format, no spaces.

Watch this video to review finding inverses of linear functions.
Watch this video to review finding inverses of quadratic functions.

y=\frac{x+4}{3}

y=\frac{4}{3}x-7

y=-\frac{2}{3}x-4

y = (x - 2)^{2} + 4

y=\sqrt{x+3}

y=(x+1)^{2}-3

y=-\sqrt{x}+2

y=-(x+5)^{2}+12

y = 2\sqrt{x+5}+6

Are the functions shown inverses of each other?

Why or why not?

Are the functions shown inverses of each other?

Why or why not?

REVIEW
Consider the function

y=\frac{1}{3}\sqrt{x}+2

What is the range?

Use interval notation, with exactly one space after the comma.

Check the keyboard on Formative for infinity.

Consider the function

y=\sqrt{x+5}+6

What is the domain?

Use interval notation, with exactly one space after the comma.

Consider the function:

y = -\sqrt{x+1}

P3.4: Function Inverses

P3.4: Function Inverses

y=\frac{x+4}{3}

y=\frac{4}{3}x-7

y=-\frac{2}{3}x-4

y = (x - 2)^{2} + 4

y=\sqrt{x+3}

y=(x+1)^{2}-3

y=-\sqrt{x}+2

y=-(x+5)^{2}+12

y = 2\sqrt{x+5}+6

Are the functions shown inverses of each other?

Why or why not?

Are the functions shown inverses of each other?

Why or why not?

What is the range?

Use interval notation, with exactly one space after the comma.

Check the keyboard on Formative for infinity.

What is the domain?

Use interval notation, with exactly one space after the comma.

What is the range?

Use interval notation with exactly one space after the comma.

y=\frac{x+4}{3}

y=\frac{4}{3}x-7

y=-\frac{2}{3}x-4

y = (x - 2)^{2} + 4

y=\sqrt{x+3}

y=(x+1)^{2}-3

y=-\sqrt{x}+2

y=-(x+5)^{2}+12

y = 2\sqrt{x+5}+6

Are the functions shown inverses of each other?

Why or why not?

Are the functions shown inverses of each other?

Why or why not?

What is the range?

Use interval notation, with exactly one space after the comma.

Check the keyboard on Formative for infinity.

What is the domain?

Use interval notation, with exactly one space after the comma.

What is the range?

Use interval notation with exactly one space after the comma.

Select the function transformations.

Select the function transforms.

Select the function transforms.

P3.4: Function Inverses

P3.4: Function Inverses

y=\frac{x+4}{3}

y=\frac{4}{3}x-7

y=-\frac{2}{3}x-4

y = (x - 2)^{2} + 4

y=\sqrt{x+3}

y=(x+1)^{2}-3

y=-\sqrt{x}+2

y=-(x+5)^{2}+12

y = 2\sqrt{x+5}+6

Are the functions shown inverses of each other?Why or why not?

Are the functions shown inverses of each other?Why or why not?

What is the range? Use interval notation, with exactly one space after the comma.Check the keyboard on Formative for infinity.

What is the domain?Use interval notation, with exactly one space after the comma.

What is the range?Use interval notation with exactly one space after the comma.

y=\frac{x+4}{3}

y=\frac{4}{3}x-7

y=-\frac{2}{3}x-4

y = (x - 2)^{2} + 4

y=\sqrt{x+3}

y=(x+1)^{2}-3

y=-\sqrt{x}+2

y=-(x+5)^{2}+12

y = 2\sqrt{x+5}+6

Are the functions shown inverses of each other?Why or why not?

Are the functions shown inverses of each other?Why or why not?

What is the range? Use interval notation, with exactly one space after the comma.Check the keyboard on Formative for infinity.

What is the domain?Use interval notation, with exactly one space after the comma.

What is the range?Use interval notation with exactly one space after the comma.

Select the function transformations.

Select the function transforms.

Select the function transforms.

Are the functions shown inverses of each other?

Why or why not?

Are the functions shown inverses of each other?

Why or why not?

What is the range?

Use interval notation, with exactly one space after the comma.

Check the keyboard on Formative for infinity.

What is the domain?

Use interval notation, with exactly one space after the comma.

What is the range?

Use interval notation with exactly one space after the comma.

Are the functions shown inverses of each other?

Why or why not?

Are the functions shown inverses of each other?

Why or why not?

What is the range?

Use interval notation, with exactly one space after the comma.

Check the keyboard on Formative for infinity.

What is the domain?

Use interval notation, with exactly one space after the comma.

What is the range?

Use interval notation with exactly one space after the comma.