Download 2016 L4.7

Inverse Linear Functions
ALGEBRA 1
BOOK SECTION 4.7
Essential Question:
How can you find the inverse of a Relation and a Function?
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.
You represented relations as tables, graphs,
and mappings.
• Find the inverse of a relation.
• Find the inverse of a linear function.
Inverse Relations
Finding Inverses of a Relation – Cornell Notes
A. Find the inverse of each relation.
{(−3, 26), (2, 11), (6, −1), (−1, 20)}
Finding Inverses of a Relation – Cornell Notes
A. Graph the inverse of each relation.
Find some points that cross nicely
on the graph!
Flip the x and y values of those
points, then graph!
You Try!
B. Find the inverse of each relation .
You Try!
B. Graph the inverse of each relation.
Finding Inverse Equations
Follow these steps…
Finding Inverses of a Relation – Cornell Notes
A. Find the inverse of the function f (x) = –3x + 27.
Step 1:
Step 2:
Step 3:
Step 4:
Finding Inverses of a Relation – Cornell Notes
A. Find the inverse of the function f (x) =2x - 3.
Step 1:
Step 2:
Step 3:
Step 4:
Example 4
You Try!
End of the Lesson
 Mini Practice Activity
 Homework: On the back of your notes sheet!
Homework
 Write Cornell Notes Summary
 Unit 1 Review Homework Packet
 BRING CALCULATORS EVERY DAY!
REVIEW 3.3-4.7 Friday