The plot of a polynomial is below. Clearly mark every zero with a Z and every tu

Question

The plot of a polynomial is below. Clearly mark every zero with a Z and every turning point with a T, then answer the questions below. As x rightarrow - infinity: y rightarrow - infinity or y rightarrow infinity (circle one) As x rightarrow + infinity: y rightarrow - infinity:or y rightarrow infinity: (circle one) Degree Parity: Even or Odd (circle one) Sign of Leading Coeff.:(-) or (+) (circle one) of Zeros: of Turning Points: Minimum Degree: A polynomial is described below. Plot a polynomial which satisfies the description (there may be more than one answer). Clearly mark every zero with a Z and every turning point with a T, then answer the questions below. Given: Zeros: x = -5, 0, 3, 7 As As x rightarrow + infinity y rightarrow - infinity:Degree Parity: Even Questions: Sign of Leading Coeff.: (-) or (+) (circle one) of Riming Points: Minimum Degree:

Explanation / Answer

a) as x --> - infinity , y ---> - infinity ( from the graph )

as x ---> + infinity , y ---> + infinity

degree parity odd as ends are in oppsite directions

sign of leading coefficient is positive as it starts down and goes up

number of zeros are 3 ( graph touches the x axis at 3 points )

number of turning points = 4

if the turning points of polynomial is n then minimum degree is n+1

minimum degree = 5

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