Illustrative Mathematics Algebra

What is the domain of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

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

What is the range of the absolute value function?

• (-infinity, infinity)
• [3, infinity)
• [0, infinity)
• (-infinity, 3]

Using the pictured graph, what is f(-3)? 

• -3
• -1
• 1
• 3

• 1

• 2

• 3

• 4

 Which function should you use to evaluate f(x) when x = 4

• f(x) = x-2

• f(x) = 2x + 1

• f(x) > 0

• f(x) = 4

Use the graph to evaluate f(5)   {HINT: when x = 5 what does y equal?}

• 0
• 2
• 4
• 6

Use the graph to evaluate f(9)   {HINT: when x = 9 what does y equal?}

• 0
• 2
• 4
• 6

Use the graph to evaluate f(2)   {HINT: think back to graphing inequalities on the number line -- should you pick value for open circle or closed circle?}

• 1
• 2
• 3
• 4

Find the inverse of f(x) = -4x - 12

• x = 4y - 3

• x = -1/4y - 3

• x = 1/4y + 3

• x = -4y - 3