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

How do we graph piecewise functions with many parts? Math II Day 42 (10-11-10) 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?

Let’s Graph It

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.

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

Try one!

Class work Page 52 #1 - 4

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

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

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

Evaluate Worksheet Evaluate each problem for the numbers given