2015­12­7 piecewise day 2.notebook
December 07, 2015
Today is Tues
12/2
Do Now:
-Take out HW
-Take out graph paper
HW ANSWERS
f(x) ={ -x if x<0
x if x > 0
f(x) ={ -x + 2 if x<2
x - 2 if x > 2
f(x) ={ ­x + 3 if x<0
x + 3 if x > 0
2015­12­7 piecewise day 2.notebook
December 07, 2015
f(x) = lxl
x
a) Can't divide by 0.
b) f(x) = -1 and y = 1
c)
d) f(x) =
Lesson 15: Piecewise functions Part 2
Student Outcomes:
Students examine the features of piecewise functions
Students will graph piecewise functions
Students will write equations from the graph of piecewise
functions
2015­12­7 piecewise day 2.notebook
December 07, 2015
Piecewise FunctionsFunctions can be graphed in pieces. Sometimes the
pieces connect, sometimes they don't. Restrictions on
the domain help us know which "piece" to look at.
What is
h(-3) =
h(5) =
h(1) =
2015­12­7 piecewise day 2.notebook
December 07, 2015
Graph the following
1)
2)
Graph
1)
2)
2015­12­7 piecewise day 2.notebook
December 07, 2015
Graph
f(x)
{
1)
2)
3)
Write a piecewise function
Function 1:
Function 2:
f(x)
{
x+ 3 x < ­2
4 ­2 < x < 1
­x + 2 x > 1
2015­12­7 piecewise day 2.notebook
Write a piecewise function
Function 1:
Function 2:
f(x)
{
Write a piecewise function
Function 1:
Function 2:
Function 3:
f(x)
{
December 07, 2015
2015­12­7 piecewise day 2.notebook
December 07, 2015
This last piecewise function is called a STEP
FUNCTION
*Looks like a set of stairs