algebra 2 section 2.8. graph the piecewise function. find the domain and range
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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
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