Alg 2| ws 4| Characteristics of functions

Refer to the given graph. Name the parent function

• absolute value

• square root

• cube root

• Quadratic

Refer to the given graph. Fill in the blank: Increasing Interval: ____________

• (1, ∞) or x>1

• (-∞, 1) or x<1

• (-∞, ∞) or all real numbers

• (6, ∞) or x>6

• (-∞, 6) or x<6

Refer to the given graph. Fill in the blank: Decreasing Interval: ____________

• (-∞, 1) or x<1

• (1, ∞) or x>1

• (-∞, ∞) or all real numbers

• (-∞, 6) or x<6

• (6,∞) or x>6

Refer to the given graph. Fill in the blank: Domain: ____________

• (-∞, ∞) or all real numbers

• [1, ∞) or x≥1

• (-∞, 1] or x≤1

• (1,6)

Refer to the given graph. Fill in the blank: Range: ____________

• (-∞, ∞) or all real numbers

• [6, ∞) or y≥6

• (-∞, 6] or y≤6

• (1,6)

Refer to the first graph. Fill in the blank: End behavior:

As x → ∞, f(x) → __ ; As x → -∞, f(x) → __

• As x → ∞, f(x) → ∞ ; As x → -∞, f(x) → ∞

• As x → ∞, f(x) → -∞ ; As x → -∞, f(x) → ∞

• As x → ∞, f(x) → ∞ ; As x → -∞, f(x) → -∞

• As x → ∞, f(x) → -∞ ; As x → -∞, f(x) → -∞

Refer to the given graph. Name the parent function

• absolute value

• square root

• cube root

• Quadratic

Refer to the given graph. Fill in the blank: Increasing Interval: ____________

• (-1, ∞) or x>-1

• (-∞, -1) or x<-1

• (-∞, ∞) or all real numbers

• (3, ∞) or x>3

• (-∞, 3) or x<3

Refer to the given graph. Fill in the blank: Decreasing Interval: ____________

• (-∞, -1) or x<-1

• (-1, ∞) or x>-1

• (-∞, ∞) or all real numbers

• (-∞, 3) or x<3

• (3,∞) or x>3

Refer to the given graph. Fill in the blank: Domain: ____________

• (-∞, ∞) or all real numbers

• [3, ∞) or x≥3

• (-∞, 3] or x≤3

• (-1,3)