Cubic Functions Review

Which of the following represents the cubic function relating the variables?

• y = 2x³ + x² + 3x + 1

• y = x³ + 2x² + 3x + 1

• y = 2x³ + 3x² + x + 1

• y = 3x³ + x² + 2x + 1

The graph below represents f(x). What are the input values when f(x) = 0?

• 2 and 4

• 0, 2, and 4

• -5, -2, and 0

• -2, 2, and 4

What is the domain of the part of the cubic function shown?

• (-3, 1)

• All real numbers greater than -3 and less than or equal to 1.

• [-3, 1]

• All real numbers greater than or equal to -4 and less than 0.

What is the range of the part of the cubic function shown?

• (-4, 0)

• All real numbers greater than 4 and less than or equal to 0.

• [-4, 0]

• All real numbers greater than or equal to -4 and less than 0.

The table below represents a cubic function, y = ax^3 + bx^2 + cx + d. What is the common third difference of the table above?

• 6

• 12

• 24

• 48

The table below represents a cubic function, y = ax³ + bx² + cx + d. Which of the following is NOT a true statement about the data in the table?

• d = -2

• 6a = 6

• 6a + 2b = 20

• a + b + c = 2

Write a polynomial function in standard form with zeros at 5, -4, and 1.

• f(x) = x³ - 2x² - 19x - 9

• f(x) = x³ - 2x² - 19x + 20

• f(x) = x³ - 21x² + 60x - 9

• f(x) = x³ + 20x² - 2x - 19

Which of the following equations represents the data given below? | x | y | |----|----| | 0 | 6 | | 1 | 9 1/3 | | 2 | 26 2/3 | | 3 | 60 | | 4 | 111 1/3 |

• y = 60x³ + 26.67x² + 9.33x + 6

• y = 14x³ + 16x² + 19x + 6

• y = 3.33x³ + 17.33x² + 33.33x + 6

• y = 0.33x³ + 6x² - 3x + 6

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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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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