2016­10­18 Absolute Value Functions.notebook
October 18, 2016
Tuesday, 10/18/2016
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Absolute Value Functions Wksht
Chp. 3 test Friday. Extra help
Friday morning.
Homework Answers
2016­10­18 Absolute Value Functions.notebook
October 18, 2016
Today's Objective
Absolute Value Functions
Absolute Value- the distance from a point
on a number line to zero.
l3l = 3
Examine the following.
x
y = |x|
l-3l = 3
y
2016­10­18 Absolute Value Functions.notebook
October 18, 2016
Create a graph for the equation:
Start with previously stated ordered pairs.
Write a brief summary describing the graph.
For the graph y = lxl we can also write it
as f(x) = lxl
y and f(x) can be used interchangeably
For a second graph y = lx - 5l
( or g(x) = lx - 5l )
Create a table:
x
2
3
4
5
6
7
g(x)
2016­10­18 Absolute Value Functions.notebook
October 18, 2016
Graph and describe!
g(x) = |x - 5|
This is the graph of g(x) = lx - 5l.
What do you notice?
2016­10­18 Absolute Value Functions.notebook
October 18, 2016
Let f(x) = |x + 3|
Graph the function.
x
f(x)
-5
-4
-3
-2
-1
0
1
How does this graph compare to y = lxl?
How does an absolute value graph change as I add and
subtract inside the absolute value brackets?
f(x) = |x + a|
f(x) = |x - a|
2016­10­18 Absolute Value Functions.notebook
Graph and describe!
h(x) = |x| - 7
x
h(x)
-3
-2
-1
0
1
2
3
How does an absolute value graph change as I add and
subtract outside the absolute value brackets?
f(x) = |x| + a
f(x) = |x| - a
October 18, 2016
2016­10­18 Absolute Value Functions.notebook
October 18, 2016