Presentation is loading. Please wait.

Presentation is loading. Please wait.

4.2 Inverse Functions There are only four words in the English language that end in “-dous”. Name one.

Similar presentations


Presentation on theme: "4.2 Inverse Functions There are only four words in the English language that end in “-dous”. Name one."— Presentation transcript:

1 4.2 Inverse Functions There are only four words in the English language that end in “-dous”. Name one.

2 4.2 Inverse Functions There are only four words in the English language that end in “-dous”. Name one. Tremendous Horrendous Stupendous Hazardous

3 One-to-One A function is one-to-one if for each y value there is only one corresponding x value. Otherwise, it is many-to-one. many-to-one one-to-one Horizontal Line Test: If a horizontal line intersects the graph of a function f in only one point, then f is one-to-one.

4 Inverses Let f denote a one-to-one function. The inverse is denoted f -1(x) and Verify that f and g are inverses of one another.

5 Graphs of Inverse Functions
The graph of a function f and its inverse f -1 are symmetric with respect to the line y = x.

6 Finding Inverses Domain Range Domain Range
The domain of f is equal to the range of f -1 and vice versa.

7 Finding Inverses Find the inverse of where

8 Finding Inverses Find the inverse of where

9 Using Inverses to Find Range
Find the inverse of Then find the range of f using f -1.

10 4.2 Inverse Functions Homework #13: pgs. 267 #9 – 19 odd, 27 – 41 odd,
59 – 67 EOO


Download ppt "4.2 Inverse Functions There are only four words in the English language that end in “-dous”. Name one."

Similar presentations


Ads by Google