Graphing and Transforming Absolute Value Functions (D_R_EB)

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

Determine the domain of the absolute value function h(x) = |x + 5| - 2.

• All real numbers

• Numbers greater than 10

• Integers

• Only negative numbers

What is the domain of the absolute value function k(x) = |3x - 4| + 1?

• Numbers less than 5

• Even numbers

• All real numbers

• Only positive numbers

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

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.

Examine the end behavior of the absolute value function g(x) = |2x + 2|.

• As x approaches positive or negative infinity, g(x) approaches a constant value.

• As x approaches positive or negative infinity, g(x) approaches 0.

• As x approaches positive or negative infinity, g(x) approaches positive infinity.

• As x approaches positive or negative infinity, g(x) approaches negative infinity.