Graphing Absolute Value Functions

What is the first step in graphing an absolute value function using a table?

• Identify the vertex from the function

• Draw the axis of symmetry

• Choose random x-values

• Plot the y-intercept

In Example 1, what are the sequential x-values chosen after identifying the vertex?

• 7, 8, 9

• 6, 7, 8

• 9, 10, 11

• 8, 9, 10

How do you reflect points across the axis of symmetry?

• By translating the points vertically

• By translating the points horizontally

• By mirroring the points on the opposite side of the axis

• By rotating the points 180 degrees

In Example 2, what is the vertex of the function?

• (-3, -6)

• (-2, -5)

• (0, -3)

• (-1, -4)

Why do the sequential values decrease in Example 3?

• Because the function is downward facing

• Because the function is constant

• Because the function is increasing

• Because the function is upward facing

What is the axis of symmetry for a function with a vertex at (-2, -2)?

• x = -2

• x = 2

• y = -2

• y = 2

How do you find the y-intercept of an absolute value function?

• Set y to 0 and solve for x

• Set x to 0 and solve for y

• Find the axis of symmetry

• Find the vertex

In Example 5, what are the x-intercepts of the function?

• (0, 0) and (6, 6)

• (6, 0) and (-6, 0)

• (0, 6) and (0, -6)

• (6, 6) and (-6, -6)

What happens if an absolute value function equals a negative number?

• It has infinite x-intercepts

• It has two x-intercepts

• It has one x-intercept

• It has no x-intercepts

In Example 6, what is the y-intercept of the function?

• (0, -9)

• (0, -7)

• (0, 9)

• (0, 7)