Understanding Absolute Value Functions

This video tutorial covers the process of connecting different representations of functions, focusing on the absolute value function H(T) = |T|. It guides viewers through completing a table of values, graphing the function, and describing the relationship between inputs and outputs. The graph is characterized as V-shaped, a typical property of absolute value functions. The tutorial concludes by summarizing the function's behavior and its graphical representation.

What is the formula used in this lesson to complete the table?

• H(T) = T + 3

• H(T) = |T|

• H(T) = T^2

• H(T) = T - 2

If the input is -3, what is the output using the formula H(T) = |T|?

• -3

• 0

• 3

• 6

What is the ordered pair for an input of -2?

• (2, -2)

• (-2, 2)

• (2, 2)

• (-2, -2)

How are the axes labeled when graphing the function H(T) = |T|?

• Input and Output

• X and Y

• T and H(T)

• A and B

What is the maximum input value used in the graph?

• 4

• 1

• 2

• 3

Where is the point (0, 0) located on the graph?

• To the right of the origin

• Below the origin

• Above the origin

• At the origin

What is the output when the input is 1?

• 2

• 0

• 3

• 1

What is the ordered pair for an input of 2?

• (2, 3)

• (2, 2)

• (2, 1)

• (2, 0)

What shape does the graph of H(T) = |T| form?

• A V-shape

• A circle

• A straight line

• A U-shape

What is a key property of the absolute value function graph?

• It is always a straight line

• It is always a parabolic graph

• It is always a V-shaped graph

• It is always a circular graph