Graphing Polynomials

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

Match each polynomial function to its graph.

• 
• 
• 
• 

• The function has an Odd degree
• The function has an Even degree
• The function has 5 real zeros
• The function has a Positive coefficient

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

• (0,0)

• (0,25)

• (0,125)

• (0,5)

• 2
• 1
• 4
• cannot be determined

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) -> -∞

Find the root(s) of the function.

• x = 3

• x = {-3, -1, 2}

• x = {-3, 2}

• x = -1