Practice: Polynomial Characteristics

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3
• 4
• 5
• 0

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

• The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
• The end behavior of the graph is The end behavior of the graph is x →∞,y→⁻∞ and x→∞, y→⁻∞

Tags

CCSS.HSF-IF.C.7A

• The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→0
• The end behavior of the graph is x →∞,y→∞and x→⁻∞, y→⁻∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

Does this function have an absolute maximum?

• Yes 
• No

Tags

CCSS.HSA.REI.D.10

Does this graph have an absolute minimum?

• Yes
• No

Tags

CCSS.HSA.REI.D.10

The function shown contains:

• Only one relative maximum.

• Two relative maximums.

• Two relative minimums.

• Three relative maximums

• (1, 4)
• (0, 2)
• (-1, 0)
• (2, 0)

On what interval is the function decreasing?

• ( −∞, −2.55) U (0, 2.55)
• (∞, −6.25) U (36, −6.25)
• (−∞, ∞)
• (−∞, 0)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Where is the function increasing?

• (4, ∞)
• (−4, ∞)
• (6, ∞)
• (-∞, 4)

Tags

CCSS.HSF-IF.C.7A

Where is the function decreasing?

• (-∞, -1)
• (-1, ∞)
• (-∞, 3)
• (-1, -∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10