Which is the graph of an odd-degree root parent function?

Question

(1 point)
Responses

A function is shown on the coordinate plane.A U-shaped graph that has a flattened bottom at the origin is shown on the coordinate plane. The graph goes through points left-parenthesis negative 1.5 comma 11.390625 right-parenthesis, left-parenthesis negative 1 comma 1 right-parenthesis, the origin, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 1.5 comma 11.390625 right-parenthesis.
Image with alt text: A function is shown on the coordinate plane. A U-shaped graph that has a flattened bottom at the origin is shown on the coordinate plane. The graph goes through points left-parenthesis negative 1.5 comma 11.390625 right-parenthesis, left-parenthesis negative 1 comma 1 right-parenthesis, the origin, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 1.5 comma 11.390625 right-parenthesis.

A curved function that increases from negative infinity to positive infinity that passes through the origin is graphed on the coordinate plane.
Image with alt text: A curved function that increases from negative infinity to positive infinity that passes through the origin is graphed on the coordinate plane.

A function is graphed on the coordinate plane. It starts at the origin and increases gradually to infinity.
Image with alt text: A function is graphed on the coordinate plane. It starts at the origin and increases gradually to infinity.

A function is graphed on the coordinate plane. The curve gradually increases to infinity, passing through the origin.
Image with alt text: A function is graphed on the coordinate plane. The curve gradually increases to infinity, passing through the origin.
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Answer 1

The graph of an odd-degree root parent function (like the cube root function, \( f(x) = \sqrt[3]{x} \)) is characterized by a continuous curve that increases from negative infinity to positive infinity and passes through the origin (0,0).

Based on your descriptions, the correct response would be:

A curved function that increases from negative infinity to positive infinity that passes through the origin is graphed on the coordinate plane.

This description matches the behavior of an odd-degree root function.