Absolute Value and Inequalities Review

What is the equation of the graph below?

• f(x) = - I x + 2 I 

• f(x) = - I x - 2 I 

• f(x) =  I x + 2 I 

• f(x) =  I x - 2 I 

List the translations or reflections of this function.
f(x)= |x-5| -2

• Reflection over x-axis, Down 2, Right 5

• Reflection over x-axis, Down 2, Left 5

• Down 2, right 5

• Down 2, left 5

Is this a function or not a function?

• Function

• Not a Function

What is the correct first step?

• divide by 10

• multiply by 10

• make it two inequalities with an "or"

• make it two inequalities with and "and"

What is the first step? 

• Get absolute value alone by subtracting 5 from both sides

• Get absolute value alone by dividing by 5 on both sides

• Split into two equations

• v>5 or v<-5
• v≥5 or v≤-5
• v>-5 or v<5
• all real numbers

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers

• n > 1 or n < -7
• n > -1 or n < -7
• -7 < n < -1
• no solution

| 2x + 12 | < 8
Which is the correct first step?

• 2x + 12 < 8 and 2x+12 >-8

• 2x + 12 < 8 or 2x+12 >-8

• 2x + 12 < 8 and 2x+12 <-8

• 2x + 12 < 8 or 2x+12 >-8

Which compound inequality involves <, ≤ when solving absolute value inequalities?

• and

• or