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Question

An s-shaped curve is plotted on a coordinate plane. Both axes range from 0 to 5 in increments of 1.

At what point does the graph of the cube root function intersect the y -axis?

(1 point)
The point of intersection is (_).

Answer 1

The cube root function is given by the equation \( f(x) = \sqrt[3]{x} \). To determine where this function intersects the y-axis, we set \( x = 0 \).

Calculating \( f(0) \):

\[ f(0) = \sqrt[3]{0} = 0 \]

Thus, the point of intersection on the y-axis is \( (0, 0) \).

Therefore, the answer is: The point of intersection is (0, 0).