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What intervals is the function increasing?
Decreasing? Constant? y=x^2

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Final answer:

The function y = x^2 is increasing for x > 0, decreasing for x < 0, and constant at x = 0.

Step-by-step explanation:

A quadratic function like y = x^2 represents a parabola.

To determine intervals where the function is increasing, decreasing, or constant, we analyze the sign of the function's derivative.

Taking the derivative of y = x^2, we get y' = 2x.

The derivative is positive when x > 0 and negative when x < 0.

Therefore, the function is increasing for x > 0 and decreasing for x < 0.

It is constant at the minimum point x = 0.

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