What is the domain of all cube root functions?

The domain of all cube root functions is $$(-\text{∞}, \, \text{∞})$$ .

What is the range of the function $$f(x) = -\text{sqrt}(x)$$ ?

The range of the function $$f(x) = -\text{sqrt}(x)$$ is $$(-\text{∞}, 0]$$ .

What is the transformation of the function $$f(x) = \text{sqrt}(x-1)$$ compared to the parent function?

The function $$f(x) = \text{sqrt}(x-1)$$ is shifted 1 unit to the right.

What is the transformation of the function $$f(x) = -\text{cbrt}(-x)$$ compared to the parent function?

The function $$f(x) = -\text{cbrt}(-x)$$ is reflected over the x-axis and the y-axis.

What does a vertical stretch by a factor of 2 do to the function $$f(x) = \text{sqrt}(x)$$ ?

A vertical stretch by a factor of 2 transforms the function to $$f(x) = 2\text{sqrt}(x)$$ .

What is the effect of a horizontal compression by a factor of 1/2 on the function $$f(x) = \text{cbrt}(x)$$ ?

A horizontal compression by a factor of 1/2 transforms the function to $$f(x) = \text{cbrt}(2x)$$ .

What is the transformation of the function $$f(x) = \text{cbrt}(x) + 3$$ compared to the parent function?

The function $$f(x) = \text{cbrt}(x) + 3$$ is shifted up 3 units.

What is the transformation of the function $$f(x) = -\text{sqrt}(-x)$$ compared to the parent function?

The function $$f(x) = -\text{sqrt}(-x)$$ is reflected over the x-axis and the y-axis.

Transformations of Square and Cube Root Functions Flashcards

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FLASHCARD QUESTION

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What is the parent function of square root functions?

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2.

FLASHCARD QUESTION

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What is the parent function of cube root functions?

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