Polynomial Functions Characteristics

What family does this function belong to
 $f\left(x\right)=-x^3$  

• LInear

• Quadratic

• Cubic
  

• Quartic

Which of the following is the parent function of a quintic equation?

• f(x) = a

• f(x) = x⁴

• f(x) = x³

• f(x) = x⁵

What is the degree of the polynomial?
  9x⁵ - x⁴ + 2x

• 9
• 5
• 4
• 2

What is the leading coefficient of the polynomial?
  7x⁵ - 9x² + 6x

• 7
• 5
• 9
• 2

What degree does the function have?
  f(x) = -2x³ + 7x

• even
• odd

Tags

CCSS.HSF.BF.B.3

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph. Determine the end behavior of the polynomial.

f(x) = 2x³ - x + 5

• Left up Right up

• Left up Right down

• Left down Right up

• Left down Right down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the end behavior of the polynomial by identifying the degree and leading coefficient.

f(x) = 5x⁴ - x + 6

• UP-UP

• UP-DOWN

• DOWN-UP

• DOWN-DOWN

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the degree?

• Positive
• Negative
• Odd
• Even

Tags

CCSS.HSA.APR.A.1

f(x)= x²(x – 2)³(x – 7)

Find and select each real zero and its multiplicity

• 0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)
• 2 (Mult of 3), 7 (mult 1)
• 0, 2, 7
• 2 (mult of 2), 7 (mult of 3)

Tags

CCSS.HSA.APR.B.3