Graphing Polynomials

What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)

• 0, 6, -5
• 6, -5
• 0, -6, 5
• 1, -6, 5

Tags

CCSS.HSF-IF.C.7C

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

• -2, 7 multiplicity 3
• -2, 7, 3
• 2, -7 multiplicity 3
• 2, -7, 3

Tags

CCSS.HSF-IF.C.7C

What are the zeros of the graph?

• -4, -1, 2, 1 multiplicity 2
• -4, -1, 1, 2
• 4, 1, -2, -1 multiplicity 2
• 4, 1, -1, -2

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

f(x)= x²(x – 2)³(x – 7)

Find the degree of this function (how many total zeros it has).

• f(x)= x²

• f(x)= x³

• f(x)= x⁵

• f(x)= x⁶

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

State the degree of the polynomial   3x⁴- 2x³ +4

• 4
• 3
• 2
• 1

What are the zeros of the function?

• 4,1
• 3,1,-2,-5
• -3, -1, 2, 5
• -2,4

Tags

CCSS.HSF-IF.C.7C

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

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

Tags

CCSS.HSF-IF.C.7C