Graphing Cube Root Inverses

Which parent function is shown?

• Square Root Function

• Cube Root Function

• Exponential Function

• Natural Log Function

Which parent function below would best model these data points?

• Square Root Function

• Cube Root Function

• Exponential Function

• Natural Log Function

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

Which graph represents the function?

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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

Which function matches the graph?

• f(x) = − ∛(x + 3) − 1

• f(x) = − ∛(x - 3) − 1

• f(x) = ∛(x + 3) − 1

• f(x) = ∛(x - 1) + 3

Match the equation with the graph.

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Graph the following function

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