Understanding Absolute Value Functions

The video tutorial explains how to complete a table using the function rule f(x) = |x| + 2 and graph the function. It covers substituting x values to find corresponding y values, plotting these points on a graph, and understanding the V shape characteristic of absolute value functions. The tutorial emphasizes the importance of selecting a range of x values to accurately depict the graph's shape and concludes with a note on the flexibility of choosing different x values.

What is the function rule used in the video?

• f(x) = |x| - 2

• f(x) = x^2 + 2

• f(x) = |x| + 2

• f(x) = x + 2

Tags

CCSS.HSF-IF.C.7D

What shape does the graph of an absolute value function typically have?

• L shape

• V shape

• S shape

• U shape

Tags

CCSS.HSF-IF.C.7D

Which x-value makes the absolute value zero in the function f(x) = |x| + 2?

• x = 1

• x = 2

• x = -2

• x = 0

Tags

CCSS.HSF.IF.A.2

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

• 6

• 4

• 2

• 0

Tags

CCSS.HSF.IF.A.2

What point is on the graph when x = -3?

• (-3, 1)

• (-3, 0)

• (-3, 2)

• (-3, 3)

Tags

CCSS.HSF.IF.A.2

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

• 3

• 2

• 1

• 0

At which point does the function change direction?

• (2, 0)

• (-1, 1)

• (0, 2)

• (-2, 0)

Tags

CCSS.HSF-IF.C.7D

Why is it important to select x-values less than and greater than the point where the absolute value is zero?

• To accurately depict the V shape

• To determine the slope of the graph

• To ensure the graph is a straight line

• To find the maximum value of the function

Tags

CCSS.HSF-IF.C.7D

What happens if only three points are plotted on the graph of an absolute value function?

• The graph will be incomplete

• The graph might appear as a line

• The graph will be a parabola

• The graph will be a circle

Tags

CCSS.HSF-IF.C.7D

What is emphasized about the graph of absolute value functions in the conclusion?

• They form a straight line

• They form a V shape

• They form a zigzag pattern

• They form a U shape

Tags

CCSS.HSF-IF.C.7D