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Alg2 4.2 Notes.notebook November 05, 2012
Skills we need
Skills we've learned
42 Inverses of Relations and Functions
1. Graph the relation below and connect the points
In 2000, the world population was 6.08 billion and was increasing at a rate 1.21% each year.1. Write a function for world population. Does the function represent growth or decay?2. Use a graph to predict the population in 2020.The value of a $3000 computer decreases about 30% each year.3. Write a function for the computer’s value. Does the function represent growth or decay?4. Use a graph to predict the value in 4 years.
x 0 1 3 4 6 7y 5 3 1 3 7 9
Warmup Answers
≈ $720.30
Alg2 4.2 Notes.notebook November 05, 2012
42 Inverses of Relations and Functions
Find inverse functions three ways: graphically, algebraically, and numerically.
Scuba divers can use an inverse function to determine their depth based on the water pressure.
Monday Overview: Inversesx 0 1 3 4 6 7y 5 3 1 3 7 9
Find the inverse of the relation above by...1. A table (numerically)
xy
2. A graph 3. An equationf(x) = 2x 5
Alg2 4.2 Notes.notebook November 05, 2012
Let's brainstorm inverses we know...
versus
I. Graphing Inverse Relations
x 0 1 5 8y 2 5 6 9
1. Graph the relation, connect the points, state the domain/range
2. Graph the inverse of the relation, connect the points and state domain/range.
Alg2 4.2 Notes.notebook November 05, 2012
x 1 3 4 5 6y 0 1 2 3 5
3. Graph the relation, connect the points, state the domain/range
4. Graph the inverse of the relation, connect the points, state domain/range
II. Finding Inverses Algebraically
5.
Check a point:
Alg2 4.2 Notes.notebook November 05, 2012
6.
Check by graphing:
III. Application
7. Juan buys a CD online for 20% off the list price. He has to pay $2.50 for shipping. The total charge is $13.70. What is the list price of the CD?
c = 0.80L + 2.50
The list price of the CD is $14
Alg2 4.2 Notes.notebook November 05, 2012
42 p.245 #3 17 odd, 29, 36, 39, 41 47, 52 59
SA14
