9.5 Inverse Functions. An inverse function occurs when you switch x and y To find an inverse function, switch x and y, then solve for the new y. An equation.

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Presentation transcript:

9.5 Inverse Functions

An inverse function occurs when you switch x and y To find an inverse function, switch x and y, then solve for the new y. An equation is a function if there is only 1 y-value for each x. – Vertical Line Test: A curve is not a function if you are able to draw a vertical line that intersects the curve more than once What do you think is necessary for the inverse to be a function? Function NOT Function

9.5 Inverse Functions Horizontal Line Test: the inverse is NOT a function if you are able to draw a horizontal line that intersects the curve more than once One-to-one: – If curve passes both the vertical and horizontal line tests. – For each x there is only 1 y and for each y there is only 1 x – Both the curve and its inverse are functions Pass Horizontal Test One to One Fails Vertical Test

Homework Pg. 686 #13, 30, 32 Pg. 693 #9-13, 16-18, 20