Solving and Graphing Absolute Value

An absolute value inequality is

• an inequality that contains an absolute value expression

• impossible to solve

• an equation that contains an absolute value expression

• always going to have two solutions

Tags

CCSS.HSA.REI.B.3

What is the first step?

• Get the absolute value alone by dividing both sides by 5
• Drop the absolute value bars and add 7 and 5 together
• Get the absolute value alone by subtracting 5 from both sides

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 
• <, >

Tags

CCSS.6.EE.B.8

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 

Tags

CCSS.6.EE.B.8

Which function is graphed?

• f(x) = 2|x + 2| -4
• f(x) = 2|x - 4| + 2
• f(x) = |x + 2| - 4
• f(x) = -2|x - 4|

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = -|2x - 3| + 5
• f(x) = -|x + 5| - 3
• f(x) = -|2x + 6| + 5
• f(x) = -2|x + 5| - 3

Tags

CCSS.HSF-IF.C.7D

What is the range?

• -7 ≤ y ≤ 5
• -9 ≤ y ≤ 3
• -5.5 ≤ y ≤ -0.5
• -∞ ≤ y ≤ 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which function is graphed?

• f(x) = 2|x - 5|
• f(x) = |x - 5|
• f(x) = |x - 5| + 5
• f(x) = |x| + 5

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = -3|-x + 1| + 4
• f(x) = -|x - 1| + 4
• f(x) = -5|x + 1| + 4
• f(x) = -3|x - 4| + 1

Tags

CCSS.HSF-IF.C.7D

Describe the movements
y=|x−2|

• Left 2
• Right 2
• Up 2
• Down 2

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.BF.B.3