Characteristics of Polynomial Graph

How many extrema are there in this graph?

• 1

• 2

• 3

• 4

How many of the extrema are minimums?

• 1

• 2

• 3

• 4

Which statements describe the End Behavior of the graph? (Check all that apply)

• x→ -∞, f(x)→ -∞

• x→ -∞, f(x)→∞

• x→ ∞, f(x)→∞

• x→ ∞, f(x)→ -∞

• (-2.55, 0), (2.55, 0)
• (-3, 0), (-2, 0), (2, 0), (3, 0)
• (0, 36)
• (0, -3), (0, -2), (0, 2), (0, 3)

• A.
• B.
• C.
• D.

At what x-value does a relative maximum occur?

• 1

• 4

• -1

• 2

At what x-value does a relative minimum occur?

• 1

• 2

• 0

• -1

Describe the end behavior of

f(x) = -5x⁴- 2x² + 8

• Left side: UP

  Right side: UP

• Left Side: Up

  Right side: Down

• Left side: Down

  Right side: Up

• Left side: Down

  Right side: Down

Describe the end behavior of f(x) = 2x² + 6x⁵ + 10x

• Left side: Up

  Right side: Down

• Left side: Down

  Right side: Up

• Left side: Up

  Right side: Down

• Left side: Down

  Right side: Down

• 4th degree polynomial with a positive leading coefficient
• 4th degree polynomial with a negative leading coefficient
• 3rd degree polynomial with a positive leading coefficient
• 3rd degree polynomial with a negative leading coefficient