Extrema, End Behavior and Increasing /Decreasing Intervals

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and
  x→ ∞, y→⁻∞
• x → ∞, y→ ∞ and
  x→⁻∞, y→∞
• None of these
• x →∞,y→⁻∞ and
  x→∞, y→⁻∞

Tags

CCSS.HSF-IF.C.7A

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

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→ ∞and x→ ⁻∞, y→ ⁻∞

Minimum or maximum?

• Minimum
• Maximum

Tags

CCSS.HSF-IF.C.7D

Minimum or maximum?

• Minimum
• Maximum

How many extrema (maximums and minimums) are in the picture?

• 2

• 3

• 4

• 5

What is the relative maximum value?

• y = 4
• y = 2
• y = 1
• y = -1

Where do you find relative minimums and relative maximums?

• zeros
• y-intercepts
• turning points
• by degree

There is a relative maximum at:

• x = -1
• x = 3
• x = -0.5
• x = 1.5

Identify the increasing interval:

• (-∞, 1) U (3, ∞)
• (-∞, 4) U (3, ∞)
• (-∞, 1) U (0, ∞)
• (-5, 4) U (3, 5)