# How do you find the x coordinates of all points of inflection, final all discontinuities, and find the open intervals of concavity for #y=x^4-3x^2#?

No discontinuities, all polynomials are continuous.

A polynomial is always continuous, so this function has no discontinuities.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- How do you find the concavity of a rational function?

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