Cube Root Functions Graphs

The graph most accurately represents which of the following functions?

• y = ∛x

• y = x²

• y = x³

• y = 1 ∕ x

• The range is y ≥ 1
• It has been reflected over the x-axis
• The function has been shifted up 1 unit
• The function has been shifted up 2 units

What transformations have occurred to get the graph of g(x) from the graph of f(x)?

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

• reflection over the y-axis,vertical compress by a factor of 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 of the facts is not true about the graph shown?

• The range is y ∈ ℝ

• The function has been shifted 6 units right.

• The function has been shifted up 1 unit

• The function has been vertically stretched by a factor of 2. 

Which graph represents the function?

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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

Graph the following function

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Which graph represents the function?

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• None of these

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

Which graph represents the function?

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