Graphing Absolute Value Functions with Tables

The video tutorial explains how to complete a table using the function rule f(x) = |x| + 2 and graph the function. It covers the substitution of X values to find corresponding Y values, emphasizing the V-shaped graph of absolute value functions. The tutorial highlights the importance of selecting X values around the point where the absolute value equals zero and demonstrates plotting these points on a graph. It concludes by noting the flexibility in choosing X values while ensuring enough points to depict the V shape.

What is the function rule used in the video?

• f(x) = x + 2

• f(x) = |x| + 2

• f(x) = x^2 + 2

• f(x) = |x| - 2

What is the shape of the graph of an absolute value function?

• A straight line

• A U shape

• A circle

• A V shape

Why is it helpful to know which x-value makes the absolute value zero?

• To find the maximum point

• To find the minimum point

• To select values less than and greater than that x-value

• To determine the slope of the graph

What is the y-value when x = -4 in the function f(x) = |x| + 2?

• 6

• 2

• 0

• 4

What is the y-value when x = -3 in the function f(x) = |x| + 2?

• 3

• 5

• 1

• 0

What is the y-value when x = -2 in the function f(x) = |x| + 2?

• 1

• 2

• 0

• 4

What is the y-value when x = -1 in the function f(x) = |x| + 2?

• 3

• 1

• 2

• 0

What is the y-value when x = 0 in the function f(x) = |x| + 2?

• 4

• 0

• 1

• 2

Why is it important to select x-values around the point where the absolute value equals zero?

• To determine the slope of the graph

• To find the maximum point

• To find the minimum point

• To determine the V shape of the graph

What might happen if we only find three points on the graph of an absolute value function?

• We might mistake it for a U shape

• We might mistake it for a parabola

• We might mistake it for a circle

• We might mistake it for a line