1. Content Standards A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. F.BF.4a Solve an equation of the form f (x ) = c for a simple function f that has an inverse and write an expression for the inverse. Mathematical Practices 6 Attend to precision. Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

2. You represented relations as tables, graphs, and mappings. Find the inverse of a relation. Find the inverse of a linear function.

3. inverse relation inverse function

5. To find the inverse, exchange the coordinates of the ordered pairs. A. Find the inverse of each relation. {(−3, 26), (2, 11), (6, −1), (−1, 20)} Cornell Notes EXAMPLE 1 – Inverse Relations

6. B. Find the inverse of each relation. Cornell Notes EXAMPLE 2 – Inverse Relations

7. A.{(4, 8), (–6, 6), (3, 3), (0, –8)} B.{(8, 4), (6, –6), (3, 3), (–8, 0)} C.{(0, –8), (3, 3), (–6, 6), (4, 8)} D.{(–4, –8), (6, –6), (–3, –3), (0, 8)} Find the inverse of {(4, 8), (–6, 6), (3, 3), (0, –8)}. You Try – Inverse Relations

8. A.Graph the inverse of the relation. Step 1 Identify 3 Lattice Points Step 2 Identify Inverses of each Lattice Point Step 3 Plot new points and connect with a LINE Cornell Notes EXAMPLE 3 – Graphing Inverse Relations

9. B. Graph the inverse of the relation. You Try – Graphing Inverse Relations

10. A. Find the inverse of the function f (x) = –3x + 27. Step 1 Replace f(x) with y Step 2 SWITCH x and y Step 3 Solve for y Step 4 Cornell Notes EXAMPLE 4 – Finding Inverse Functions

11. Find the inverse of f(x) = 12 – 9x. Cornell Notes EXAMPLE 5 – Finding Inverse Functions

12. Write Cornell Notes Summary 4.7 in Homework Packet