Graphing Cube and Cube Root Functions

Which function matches the graph?

• f(x) = ∛(x + 3) + 2

• f(x) = − ∛(x - 3) + 2

• f(x) = ∛(x - 3) + 2

• f(x) = ∛(x - 2) + 3

What is the Range for the graph?

• A

  2 ≤ y < ∞

• B

  − ∞ < y ≤ 3

• C

  3 ≤ y < ∞

• D

  − ∞ < y < ∞

What is the Range for the graph?

• -4 ≤ y < ∞

• − ∞ < y ≤ -2

• -2 ≤ y < ∞

• − ∞ < y ≤ -4

Which graph represents the function?

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Graph the following function

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Match the equation with the graph.

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What is the Domain for the graph?

• A

  -4 ≤ x < ∞

• B

  − ∞ < x ≤ -2

• C

  -2 ≤ x < ∞

• D

  − ∞ < x ≤ -4

What transformations have occurred to get from the parent function f(x) to the transformed function g(x)?

• reflection over the x-axis,vertical shrink by a factor of -5

• reflection over the x-axis,vertical shrink by a factor of 1/5

• reflection over the x-axis,vertical stretch by a factor of 5

• reflection over the y-axis,vertical stretch by a factor of 5

If f(x) = ∛(x) is reflected over the x-axis, vertically shrunk by a factor of 1/4, and shifted left 9, which equation is correct?

• 1/4 ∛(x + 9)

• 1/4 ∛(x - 9)

• - 1/4 ∛(x + 9)

• - 1/4 ∛(x - 9)

Graphing cube root and square root functions: Graph the function g(x) = ∛x

• Graph the function g(x) = ∛x by plotting points and connecting them to create the graph.

• Graph the function g(x) = ∛x by using a scatter plot

• Graph the function g(x) = ∛x by drawing a straight line

• Graph the function g(x) = ∛x by using a bar graph