H. TEST - CUBIC FUNCTIONS

Sketch the graph of each function. State the number of real zeros. Approximate the relative minima and relative maxima to the nearest tenth.

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Factor each and find all roots.

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Tags

CCSS.HSF-IF.C.7C

Find a zero to the polynomial f(x)= x³- 5x² +2x +8

• -3

• 8

• 4

• 9

Find the zeros of the polynomial f(x)= x³ +2x² -3x

• 3,0,2

• 3, 5, 6

• 9,8,1

• -3,0,1

Tags

CCSS.HSF-IF.C.7C

The degree of the polynomial determines the number of roots.

• True
• False

Tags

CCSS.HSN.CN.C.9

Determine the roots of the polynomial. 
f(x) = (x+1)(x-4)(x+2)

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

Tags

CCSS.HSF-IF.C.7C

Determine the roots of the polynomial. 
f(x) = -x(x+1)(x-3)

• -1, 3
• 0, -1, 3
• 1, -3
• 0, -3, 1

Tags

CCSS.HSF-IF.C.7C

Which of these represents a CUBIC function?

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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

Describe the end behavior of the function. (Put the polynomial in standard form first*)
y = -6x + 4 + 9x³

• down and down
• down and up
• up and down
• up and up