Understanding Absolute Value Functions

The video tutorial explains how to graph an absolute value function, create a table of values, plot points, and identify the vertex. It covers graph compression and reflection properties, and how to determine the domain and range of the function.

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

• Identify the axis of symmetry

• Determine the range

• Create a table of values

• Find the vertex

Why is creating a table of values helpful when graphing?

• It identifies the axis of symmetry

• It determines the range

• It simplifies the calculation of specific points

• It helps in finding the domain

What is the result of g(-2) for the given function?

• 0

• 3

• 6

• -6

What is the vertex of the absolute value function discussed?

• (-2, 6)

• (2, 6)

• (0, 0)

• (0, 6)

What does the coefficient inside the absolute value function indicate?

• Reflection over the x-axis

• Reflection over the y-axis

• Translation of the graph

• Compression or extension of the graph

Why is there no reflection over the x-axis in this function?

• The coefficient is positive

• The vertex is at the origin

• The negative sign is inside the function

• The function is not symmetric

What is the domain of the absolute value function?

• 0 to infinity

• -infinity to 0

• -infinity to infinity

• 0 to 6

What is the range of the absolute value function?

• -infinity to 0

• -6 to 6

• 0 to infinity

• -infinity to infinity