polynomial graphs

Where do you find relative minimums and relative maximums?

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the relative max?

• (0, 36)
• (-2.55, -6.55), (2.55, -6.55)
• (-∞, ∞)
• None

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

What is the end behavior as x → +∞, f(x)→ ?

• -∞
• ∞

Tags

CCSS.HSF-IF.C.7A

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

• Left side: Rises  
   Right side: Rises
• Left Side:  Rises
  Right side: Falls
• Left side: Falls
  Right side: Rises
• Left side: Falls
  Right side: Falls

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the local maxima of this graph?

• local maximum at (2.2, 3.9)
• local maximum at (-8, 5)
• local maximum at (5, -8)⋃(3.9, 2.2)
• local maximum at (-8, 5)⋃(2.2, 3.9)

Tags

CCSS.HSF.IF.B.4

When is this function increasing?

• −2.5 < x < 2.5
• 0 < x < 5
• 0 < x < 55
• −5 < x < 0

Over what interval is this function constant?

• −5 < x < ∞
• −3 < x < 4
• 4 < x < ∞
• −5

f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.

• x=-4, x=3, x=-2
• x=-4, x=3, x=2
• x=-4, x=3, x=2
• x=4, x=3, x=2

Tags

CCSS.HSF-IF.C.7C