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Inverse Relations & Square Root Functions

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Presentation on theme: "Inverse Relations & Square Root Functions"— Presentation transcript:

1 Inverse Relations & Square Root Functions
Chapter 7, Sections 8, 9

2 What Are Inverse Functions?
Inverse functions are functions that switch the x and y values. For example: (1,2) (3,4) (5,6) = (0,-4) (-3,5) (-7,1) (4,0) = To find the inverse of a function: (Graphic Organizer) Write the function as y= Switch the x and y variables Solve the new function for y

3 Find the Inverse

4 Verifying Inverses f(x) and g(x) are inverses if and only if:
f(g(x))=x AND g(f(x))=x Examples:

5 Square Root Functions & Inequalities
Recall: Domain is Range is Find the domain and range of the following:

6 Graphing Square Root Inequalities
Recall: Dotted lines Solid lines Shaded above Shaded below

7 Homework Page 50 in workbook Page 51 in workbook Exit Slip
Problems 1, 3, 5, 10-15 Page 51 in workbook Problems 1-9 Exit Slip If two relations are inverses, the domain of one relation is the what of the other relation?


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