Exploring Absolute Value Functions in Graphing

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

• A circle

• A parabola

• A V shape

• A straight line

What is the domain of the parent absolute value function f(x) = |x|?

• All integers

• All non-negative real numbers

• All real numbers

• All positive real numbers

When graphing g(x) = |x + 2|, why is it important to include negative x-values?

• To ensure the graph is a straight line

• To avoid errors in calculations

• To make the graph symmetrical

• To get a full understanding of the V shape

What is the y-value for g(x) = |x + 2| when x = -3?

• 7

• 1

• 3

• 5

For the function g(x) = |x - 4|, what is the y-value when x = 0?

• 6

• 4

• 2

• 0

Why do we need to continue plotting points for g(x) = |x - 4| until we see the V shape?

• To avoid errors in calculations

• To capture the repeating pattern of values

• To confirm the graph is symmetrical

• To ensure the graph is a straight line

What is the shape of the graph for g(x) = -2|x|?

• A straight line

• A circle

• A parabola

• An upside-down V shape

For the function g(x) = -2|x|, what is the y-value when x = -2?

• 4

• -4

• 2

• -2

What is the y-value for g(x) = |2x| when x = -3?

• 3

• 6

• 9

• 12

When graphing g(x) = |2x|, what is the y-value when x = 2?

• 6

• 4

• 2

• 8