Characteristics of Functions & Average Rate of Change

Determine the interval in which this function is INCREASING.

• (-4, ∞)
• (-3, ∞)
• (∞, -3)
• (-∞, -4)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the DOMAIN of this function.

• (-5, -1)

• (-∞, ∞)

• No solution

• (-∞, -3)

Determine the RANGE of this function.

• [-4, ∞)

• (-3, ∞)

• No solution

• (-∞, -4]

Using the graph of the quadratic function, identify the y-intercept.

• (4, -6)

• (0, 2)

• (.5, 0)

• (7.5, 0)

Tags

CCSS.HSF-IF.C.7A

What is the correct 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) → - ∞

Describe the end behavior of the graph.

• as x → ∞, y→ ∞

  as x→ ⁻∞, y→ ⁻∞

• as x → ∞, y→ ∞

  as x→⁻∞, y→ ∞

• as x →∞,y→ ⁻∞

  as x→⁻∞, y→ ∞

• as x →∞,y→ ⁻∞

  as x→⁻∞, y→ ⁻∞

Describe the end behavior of the graph.

• x →∞, y→∞ and x→∞, y→⁻∞
• x →∞, y→∞ and x→⁻∞, y→∞
• x →∞, y→∞ and x→⁻∞, y→0
• x →∞,y→0 and x→∞, y→⁻∞

Tags

CCSS.HSF-IF.C.7E

Identify where the function is increasing.

• x < 0

• x > 0

• x < -3 , x > 3

• -3 < x < 3

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify where the function is negative.

• $x<-7,\ \ \ x\ >5$

• $-7<x<-3,\ \ \ x\ >5$

• $x<-7,\ \ \ -3<x<5$

• $-7<x<5$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Identify where the function is positive.

• $-3<x<3$

• All Real Numbers

• $x<-3$ and $x>3$