Inverse Function Graphs

Are these inverse functions?

• yes

• no

• no way to tell

Which is f ^-1(x)?

• f ^-1(x) = 3x + 5

• f ^-1(x) = 3x - 5

• f ^-1(x) = 3x - 15

• f ^-1(x) = 3x + 15

Are these inverse functions?

• no

• yes

• no way to tell

Is the inverse of this a function?

• No

• Yes

Is the inverse of this a function?

• Yes

• No

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

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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Find the inverse

• f^-1(x) = 2x+16

• f^-1(x) = 2x-16

• f^-1(x) = 2x - 8

• f^-1(x) = x + 16

To prove two functions are inverses of each other, both f(g(x)) and g(f(x) should equal...

• 1

• x

• 0

• y