1. y = -.5x + 4 for X > -2 y = 2x + 1 for X ≤ -2 Warm Up
Graph the following on the same x,y axis
y = -.5x + 4 for X > -2
y = 2x + 1 for X ≤ -2
give the domain and range

2. How do we graph piecewise functions with many parts?
Math II Day 42 ( )
Standard MM2A1.b
Investigate and explain characteristics of a variety of piecewise functions including domain, range, vertex, axis of symmetry, zeros, intercepts, extrema, points of discontinuity, intervals over which the function is constant, intervals of increase and decrease, and end behavior.
Today’s Question:
How do we graph piecewise functions with many parts?

3. Let’s Graph It

4. x=1 is the breaking
point of the graph, the point of discontinuity.
To the left is the top
equation.
To the right is the
bottom equation.

5. Graph:
Point of Discontinuity
Domain = ??
Range = ??

6. Try one!

7. Class work
Page 52 #1 - 4

8. Evaluate for the following
X = - 4
X = 3
X = 1
2(-4) – 1 = -9
3(3) + 1 = 10
2(1) – 1 = 1

9. Evaluate f(x) when x=0, x=2, x=4
First you have to figure out which equation to use
You NEVER use both
X=4
X=2
X=0
This one fits
Into the top
equation
So:
0+2=2
f(0)=2
So:
2(4) + 1 = 9
f(4) = 9
This one fits here
So:
2(2) + 1 = 5
f(2) = 5
This one fits here

10. EVALUATE PROBLEMS
Evaluate for x = 5, 4, -8, 10, 0, 2, -4

11. Evaluate Worksheet
Evaluate each problem for the numbers given