Algebra 2Section 2.8

Graph the piecewise function. Find the domain and range.

2 1 if 1

( ) 3 if 3 1

if 3

x x

f x x

x x

Similar to a linear equation, but with an inequality symbol instead of an equals sign. y > -3x-2 (linear inequality)y = -3x-2 (linear equation)

With inequalities, we need: dashed versus solid lines Shading The solution set is now the shaded region instead

of just the line

Determine if the boundary line is dashed or solid

Dashed line for > or <

Solid line for

Pick a test point

Shade the shaded region

,

Graph -3x + y < 6

Graph:

1. x + 4y > 2 2. y < 5x-2

Just like graphing absolute value equations, except: dashed vs solid lines shading the solution set is now the shaded region instead

of just the line

Graph y ≥ |x| - 41.Find the vertex and 2 additional points2.Solid or dashed line?3.Pick a test point4.Shade

Graph:1)y ≤ 2|x| + 3 2) y > 3|x+1|

Pg. 119 #9, 11, 13, 15, 17, 19, 28, 29