Precalculus Characteristics of Polynomial Functions

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)

• 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

• -16

• 0

• 16

• 18

Pick all statements that apply to this polynomial.

• It is an odd degree function.

• It is an even degree function.

• It has a positive leading coefficient.

• It has a negative leading coefficient.

• It has 3 real roots.

Which of these statements are true? Select all that apply.

• Each x-intercept only occurs once.

• The numeric degree is 6.

• The degree of the function is even.

• The leading coefficient of the polynomial is positive.

• The function has a y-intercept at (0, 0)

In terms of positive/negative lead coefficient and odd/even degree, how would you describe this polnomial?

• Positive/Even

• Negative/Even

• Positive/Odd 

• Negative/Odd

The table gives values of the polynomial function h at selected values of x. Which of the following statements about h could be true?

• h is an odd function and h(-4) = -7

• h is an odd function and h(-4) = 7

• h is an even function and h(-4) = -7

• h is an even function and h(-4) = 7

The figure shown is the graph of a polynomial function f. Which of the following could be an expression for f(x)? (81.)