Absolute Value Functions Quiz

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

• Integers

• Only negative numbers

• All real numbers

• Fractions

Identify the domain of the absolute value function g(x) = |2x - 1|.

• All real numbers

• Only negative numbers

• Rational numbers

• Integers

Find the range of the absolute value function h(x) = |x - 2|.

• (2, ∞)

• (-∞, 0)

• (-∞, ∞)

• [0, ∞)

Find the range of the absolute value function k(x) = |3x + 4|.

• (-4, 3)

• [0, ∞)

• [4, ∞)

• (-∞, 4)

Analyse the end behavior of the absolute value function y = |x|.

• As x approaches zero, y approaches negative infinity

• As x approaches positive infinity, y approaches negative infinity

• As x approaches positive or negative infinity, y also approaches positive infinity.

• As x approaches negative infinity, y approaches zero

Analyse the end behavior of the absolute value function y = |2x - 1|.

• As x approaches positive or negative infinity, the function approaches negative infinity.

• As x approaches positive or negative infinity, the function approaches zero.

• As x approaches positive or negative infinity, the function oscillates between positive and negative infinity.

• As x approaches positive or negative infinity, the function approaches positive infinity.

Solve the absolute value equation |2x - 5| = 7.

• x = 4 or x = -9

• x = 6 or x = -1

• x = 2 or x = -3

• x = 10 or x = -3

Solve the absolute value equation |3x + 2| = 11.

• x = 7 or x = -5

• x = 5 or x = -9

• x = 1 or x = -15

• x = 3 or x = -13

Solve the absolute value inequality |4x - 3| < 5.

• x > 2 or x < -1/2

• x < 1 or x > -3

• x > 3 or x < -2

• x < 2 or x > -1/2

Solve the absolute value inequality |x + 1| ≥ 4.

• x ≥ 3 or x ≤ -5

• x ≤ 2 or x ≥ -4

• x ≤ 4 or x ≥ -2

• x ≤ 1 or x ≥ -3