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# Over what intervals are the following functions continuous?

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Over what intervals are the following functions continuous? Justify your answer using the definition of continuity.

a.
b.

Let f and g be twice differentiable functions such that for all x in the domain of f. If and What (if anything) can you say about f, g, and h at x = 2?

##### Solution Summary

The intervals for functions continuous are determined. Differentiable functions are examined.

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a), h(x) is continuous for all real x values based on the fact that superposition of elementary functions is continuous function everywhere where the components exist and are continuous functions (we must consider domains for all the ...

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