Understanding Cubic and Cube Root Functions

Which of the following represents a cubic function?

• A straight line

• A parabola

• An S-shaped curve

• A U-shaped curve

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CCSS.HSF.BF.B.3

Identify the cube root function from the following options.

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CCSS.HSF-IF.C.7B

• It is shifted 2 units to the right.

• It is shifted 2 units to the left.

• It is stretched vertically.

• It is compressed vertically.

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CCSS.HSF-IF.C.7B

• Shifts the graph 3 units to the right

• Shifts the graph 3 units to the left

• Stretches the graph vertically

• Compresses the graph vertically

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CCSS.HSF.BF.B.3

Which of the following is a key attribute of cubic functions?

• They have exactly one real root.

• They always pass through the origin.

• They can have one, two, or three real roots.

• They are symmetric about the y-axis.

• -6

• 2

• 2x

• -1

• It is stretched vertically by a factor of 3.

• It is compressed vertically by a factor of 3.

• It is shifted 3 units to the right.

• It is shifted 3 units to the left.

Tags

CCSS.HSF-IF.C.7B

Which real-world scenario could be modeled by a cubic function?

• The height of a ball thrown into the air over time

• The volume of a cube as a function of its side length

• The distance traveled by a car at a constant speed over time

• The decay of a radioactive substance over time