Graphing Polynomials

How many zeros does the polynomial function
 P(x) = 3x⁴+4x-8 have?

• 1
• 2
• 3
• 4

Identify the zeros:

• x=-2, x=-1, x=0
• x=-2, x=0
• x=-1, x=0, x=2
• x=-2, x=0, x=1

• 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

Over the interval (−1, 2), the graph of the polynomial shown could be described as

• decreasing
• increasing
• quadratic
• complex

Determine the y-intercept 
f(x) = x³ - 5x² - 25x + 125

• (0,0)
• (0,25)
• (0,125)
• (0,5)

Tags

CCSS.HSF-IF.C.7C

What is the end-behavior of the function 
y = -x³ + 6x² + 7x

• 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) -> -∞

What is the degree?

• Positive
• Negative
• Odd
• Even

What is the leading coefficient?

• Positive
• Negative
• Odd
• Even

Which of the following could be the factored form for the equation representing the graph shown?

• (x+3)(x-2)(x-5)
• (x-5)²(x-2)(x+3)
• (x-3)(x+2)(x+5)²
• none of these

Tags

CCSS.HSA.APR.B.3