This is picture taken from my textbook.(adsbygoogle = window.adsbygoogle || []).push({});

I understood the last two statements "To check whether..". A function is one if its strictly increasing or decreasing. But I am not able to understand the first statement. Polynomials are continuous functions. Also, a continuous function ± discontinuous function may be continuous. (eg: {x}+[x]) So why should h(x) necessarily be a continuous function?

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# Checking if f(x)=g(x)+h(x) is onto

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