Polynomial Graphs Review

What do "zeros" represent?

• something a polynomial can not be.

• the place that the polynomial crosses the x axis/ the x value that makes the whole equation equal to zero

• the place that the polynomial crosses the y axis/ the y value where x=0

• the number zero

Tags

CCSS.HSF-IF.C.7C

• The function has an Even degree
• The function has a Negative coefficient
• The function has an Odd degree
• The function has 3 real zeros

• Positive Odd
• Positive Even
• Negative Odd
• Negative Even

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

• 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 the end-behavior of the function
y = 2x³ - 5x² + 3x

• as x-> -∞ f(x) -> -∞
   as x-> ∞ f(x) -> ∞

• as x-> -∞ f(x) -> ∞
   as x-> ∞ f(x) -> -∞

• as x-> -∞ f(x) -> ∞
   as x-> ∞ f(x) -> ∞

• as x-> -∞ f(x) -> -∞
   as x-> ∞ f(x) -> -∞

• (-2.55, 0), (2.55, 0)
• (-3, 0), (-2, 0), (2, 0), (3, 0)
• (0, 36)
• (0, -3), (0, -2), (0, 2), (0, 3)

Tags

CCSS.HSF-IF.C.7A

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

Tags

CCSS.HSA.APR.B.3

What degree is the function?

• 1

• 2

• 4

• 5

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

Match the graph to the function

• f(x)= -x²+3x+2

• f(x) = -x³+2

• f(x) = x³+2

• f(x) = ⅓x⁴-5x²+2