Graphing and Transforming Absolute Value Functions

Identify the domain of the absolute value function f(x) = |x - 3|.

• All real numbers

• Integers

• Only negative numbers

• Numbers greater than 3

Find the domain of the absolute value function g(x) = |2x + 1|.

• All real numbers

• Only negative numbers

• Fractions

• Integers

Calculate the range of the absolute value function f(x) = |x - 2|.

• (0, 2)

• [0, ∞)

• (-∞, 0)

• (-∞, ∞)

Find the range of the absolute value function g(x) = |2x + 3|.

• All negative real numbers

• All non-negative real numbers

• Only the number 0

• Complex numbers

What is the equation of the graph below?

• f(x) = I x I + 1

• f(x) = I x I - 1

• f(x) = -I x I + 1

• f(x) = -I x I - 1

Which function is graphed?

• f(x) = -|2x - 5| + 5

• f(x) = -|x - 3| - 3

• f(x) = -2|x + 3| + 5

• f(x) = -2|x + 5| - 3

Choose the equation that best matches the graphed function.

Determine the range of the absolute value function h(x) = |x + 4| - 3.

• All real numbers greater than or equal to -3

• All real numbers less than or equal to -3

• All positive real numbers

• All even numbers

What is the range of the absolute value function k(x) = |3x - 5| + 2?

• [0, ∞)

• (-∞, 2)

• [2, 5)

• [2, ∞)

Analyze the end behavior of the absolute value function f(x) = |x - 1|.

• As x approaches positive infinity, f(x) approaches 1, and as x approaches negative infinity, f(x) approaches 1.

• As x approaches positive infinity, f(x) approaches 0, and as x approaches negative infinity, f(x) approaches 0.

• As x approaches positive infinity, f(x) approaches negative infinity, and as x approaches negative infinity, f(x) approaches negative infinity.

• As x approaches positive infinity, f(x) approaches positive infinity, and as x approaches negative infinity, f(x) approaches positive infinity.