Graphing Absolute Value Equations on Both Sides

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

Use Desmos or a graphing calculator to check to find the correct multiple choice answers:

−2|−2r − 4| = −12

• {3, 1}

• {−5, 1}

• {−5, 5}

• No Solution

Solve the equation, showing steps on paper: | 3n + 12 | = 2n Once you finish solving, use Desmos or a graphing calculator to check your answers. In your work, also show what you get for each side of the equation for each value.

• No Solution

• n = -12 or n = ^-12/₅

• n = -12

• n = ^-12/₅

What is the correct equation for this graph?

• y < |x+4| -3

• y ≤ |x+4|+ 3

• y ≤ |x-4| -1

• y < 1/2|x+4| + 1/2

What is the correct equation for this graph?

• y > -|x| + 7/2

• y > -2|x| + 4

• y > -1/2|x| + 2

• y > |x| + 4

Is this graph correct for y= -2|x+4|

• Yes

• No

Which graph matches the function: y = -2|x - 3| + 5

• A

• B

• C

• D

What is the correct equation for this graph?

• y ≤ 2|x-1| - 1

• y ≤ 1/2|x-1| + 4

• y ≥ -2|x+1| - 2

• y ≥ -2|x-1| + 1

Which graph matches the inequality?

• 
• 
• 
• 

What is the vertex of the following function?

• (2,3)

• (-3,1)

• (2,-3)

• (3,1)