Absolute Value Functions and Inequalities

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = 4|x + 3| - 2

• Narrower

• Wider

• Same

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|

What is the equation of the graph below? You can click the picture to zoom in!

• y = - | x + 2| + 4

• y = - | x - 2| + 4

• y = | x - 2 | + 4

• y = | x - 2| - 4

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = 5/2 |x - 1|+ 2

• Narrower

• Wider

• Same

What is the equation of the absolute value function?

• f(x)= |x+4|

• f(x)= |x-4|

• f(x)= |x| + 4

• f(x)= |x| - 4

Which function is graphed?

• f(x) = 2|x + 4| - 3

• f(x) = ¹/₂|x + 4| - 3

• f(x) = ¹/₂|x + 3| - 4

• f(x) = 2|x + 3| - 4

What is the equation of the absolute value function?

• f(x)= 4|x+3|

• f(x)= 1/4 |x+3|

• f(x)= 1/4 |x - 3|

• f(x)= 4|x - 3|

Are we going to shade above or below for f(x)≥|x-6|+8?

• Above

• Below

• I don't know

Is the line for the inequality f(x)<|x+1| going to solid or dotted?

• Dotted

• Solid

• I don't know

What is the equation of this graph?

• y > |x-2|

• y > |x|-2

• y ≥ |x|-2

• I don't know