How do you determine whether the function $y = x^{2}$ $y=x^2$ is concave up or concave down and its intervals?

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How do you determine whether the function $y = x^{2}$ $y=x^2$ is concave up or concave down and its intervals?

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Answer 1 · 2015-10-09T14:59:42

$y = x^{2}$ $y=x^2$ is concave up with an interval of $(- \infty, + \infty)$ $(-oo,+oo)$

Explanation:

A polynomial function is concave up (opens upward) if the coefficient of $x^{2}$ $x^2$ is greater than $0$ $0$ . If the coefficient of $x^{2}$ $x^2$ is greater than $0$ $0$ then $y \to + \infty$ $yrarr+oo$ as $x \to \pm \infty$ $xrarr+-oo$

Conversely if the coefficient of $x^{2}$ $x^2$ is less than $0$ $0$ the parabola opens downward.

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How do you determine whether the function $y = x^{2}$ $y=x^2$ is concave up or concave down and its intervals?

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Science

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How do you determine whether the function y=x2y=x^2 is concave up or concave down and its intervals?

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Explanation:

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Impact of this question

How do you determine whether the function $y = x^{2}$ $y=x^2$ is concave up or concave down and its intervals?