Inverse Function Graphs

When two functions are inverses of each other, their graphs are reflective over...

• y=x

• x-axis

• y-axis

Tags

CCSS.HSF-BF.B.4C

Are the graphs inverses?

• yes

• no

Tags

CCSS.HSF-BF.B.4B

Are the graphs inverses?

• yes

• no

Tags

CCSS.HSF-BF.B.4B

To graph the inverse of a function...

• Rotate it around the origin

• Reflect it across the x-axis

• Reflect it across the y-axis

• Switch the x and y coordinates and plot the new points

Tags

CCSS.HSF-BF.B.4C

Is the inverse of this a function?

• No

• Yes

Is the inverse of this a function?

• Yes

• No

A function has an inverse function if...

• It passes the Vertical Line Test

• It fails the Horizontal Line Test

• It passes the Horizontal Line Test

• It fails the Vertical Line Test

Graph the inverse (Hint: look at y=x)

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Tags

CCSS.HSF-BF.B.4C

Find the inverse

• f^-1(x) = 2x+16

• f^-1(x) = 2x-16

• f^-1(x) = 2x - 8

• f^-1(x) = x + 16

Tags

CCSS.HSF-BF.B.4A

f^-1(x) is written when...

• The inverse is not a function

• The function fails the HLT

• The inverse is a function

• There are two different functions