Algebra 2 Section 2.8

Graph the piecewise function. Find the domain and range.

 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| Find the vertex and 2 additional points 2. Solid or dashed line? 3. Pick a test point 4. Shade

Graph: 1) y ≤ 2|x| + 32) y > 3|x+1|

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