Review: Attributes of Absolute Value Functions

Label each attribute

a

b

c

d

x-intercept

Vertex

x-intercept

y-intercept

What is the vertex of the absolute value function?

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

The vertex is a ___________for this graph.

• maximum

• minimum

Graph the function below to identify the intercepts.

f(x)= |x-5| -2

• x-intercepts: (-5,0) & (2,0); y-intercept (0, -2)

• x-intercepts: (5,0) & (-2,0); y-intercept (0, -2)

• x-intercepts: (3,0) & (7,0); y-intercept (0, 3)

• x-intercepts: (-3,0) & (7,0); y-intercept (0, 3)

Graph the function below to identify the range of the absolute value function. Challenge yourself by trying to figure it out before you graph!

f(x) = -7|x + 2| + 5

• x ≤ 5

• All Real Numbers

• y ≤ 5

• -3 < y < -1

Graph the function below to identify the y-intercept of the absolute value function.

f(x) = |x - 7| + 2

• (2, 0) and (7, 0)

• (0, 9)

• (2, 0)

• No x-intercept(s)

Graph the function below to identify the x-intercept(s) of the absolute value function.

f(x) = |x - 7| + 2

• (2, 0) and (7, 0)

• (0, 9)

• (2, 0)

• No x-intercept(s)

Graph the function below to identify the axis of symmetry of the absolute value equation

f(x) = |x - 6| - 5

• x = -5

• y = -5

• x = 6

• y = 6

Which of the following statements is true about the graph

• The graph has a maximum of -1

• The graph has a minimum of -1

• The graph has a maximum of -2

• The graph has the minimum of -2

Which of the following statement about the graph is true?

• The x-int is (3,0)

• The function is symmetric about the line x=1

• y-int is (5,0)