### 6-10 Absolute Value Functions

```SWBAT: Graph absolute value functions
Lesson 6-10
Do Now:
Work with a partner. Use a graphing calculator to match each absolute value function with its
graph.
1
SWBAT: Graph absolute value functions
Lesson 6-10
Graphing Absolute Value Functions Using a Graphing Calculator
1) Graph the parent function f​ ( x​)​ ​ x​ .
The domain is the set of real number.
x
y=
(x, y)
a) What is the domain of f.
d) What is f(3) = __________
b) What is the range of f.
e) What is f(-2) = __________
c) For what value(s) of x is f(x)= 4?
2) Graph f (​ x​)​ ​ x​ ​ 4​ .
The domain is the set of real number.
x
y=
(x, y)
a) Write the domain as an inequality of f.
c) What is f(3) = __________
b) Write the range as an inequality of f.
d) What is f(-2) = __________
2
SWBAT: Graph absolute value functions
Lesson 6-10
3) Graph f (​ x​)​ ​ x​ ​ 4​ .
x
y=
(x, y)
a) Write the domain as an inequality of f.
c) What is f(3) = __________
b) Write the range as an inequality of f.
d) What is f(-2) = __________
How do the values of a, h, and k affect the graph of the absolute value function
 ( ) =  |  − ℎ | + 
3
SWBAT: Graph absolute value functions
Lesson 6-10
4)
Graph
f​ ( x​)​ ​ ​ x​ .
What happened to this graph?
5) Application Problem
MODELING WITH MATHEMATIC S The number of pairs of shoes sold s (in thousands) increases
and
then decreases as described by the function s(t) = −2 ∣ t − 15 ∣ + 50, where t is the time
(in weeks).
a. Graph the function.
b. What is the greatest number of pairs of shoes sold in 1 week?
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SWBAT: Graph absolute value functions
Lesson 6-10
Summary
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SWBAT: Graph absolute value functions
Lesson 6-10
LESSON PRACTICE
6
SWBAT: Graph absolute value functions
Lesson 6-10
LESSON PRACTICE
7
SWBAT: Graph absolute value functions
Lesson 6-10
LESSON PRACTICE
8
```