Polynomial Graph Characteristics

Is the function represented by this graph of an Even or Odd degree? Is the leading coefficient (LC) positive or negative?

• Even degree, Positive LC

• Odd Degree, Positive LC

• Even degree, Negative LC

• Odd degree, Negative LC

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 one of the following could be the polynomial seen in the image?

• y = (x + 3)(x + 1)(x − 2)

• y = - (x + 3)(x + 1)(x − 2)

• y = - (x − 3)(x + 1)(x + 2)

• y = (x + 3)(x + 1)(x + 2)

Tags

CCSS.HSA.APR.B.3

Which root has a multiplicity of 2?

• -1

• 2

• 4

• -4

Find the zeroes of the function. State the multiplicity of each zero.

f(x) = (x - 7)²(x + 3)⁴

• -7 with multiplicity 2; 3 with multiplicity 4

• -7 with multiplicity 1; 3 with multiplicity 1

• 7 with multiplicity 2; -3 with multiplicity 4

• 7 with multiplicity 1; -3 with multiplicity 1

Tags

CCSS.HSF-IF.C.7C

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

What is the degree of the polynomial shown in the image?

• 4

• 5

• 7

• 6

Write a 4th degree polynomial function with:

*a positive leading coefficient

*zeros: 9, 3, -2, 0

• y = x (x - 9)(x - 3)(x + 2)

• y = x (x + 9)(x + 3)(x - 2)

• y = -x (x - 9)(x - 3)(x + 2)

• y = -x (x + 9)(x + 3)(x - 2)

Tags

CCSS.HSA.APR.B.3

Which of the following determine the end behavior of a polynomial? Select 2.

• The number of terms

• The degree

• The constant term

• The leading coefficient

Pick the two ways to find the y-intercept.

• Graph the polynomial.

• Plug zero in for the value of x and simplify.

• Plug zero in for the value of y and factor to solve.

• Find the inverse of the polynomial.