Let a function f:R→R be defined as f(x)=⎧⎪⎨⎪⎩sinx−exif x – InterviewSolution

1.	Let a function f:R→R be defined as f(x)=⎧⎪⎨⎪⎩sinx−exif x≤0a+[−x] if 0<x<12x−bif x≥1where [x] is the greatest integer less than or equal to x. If f is continuous on R, then (a+b) is equal to
Answer» Let a function $f : R \to R$ be defined as $f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} sin x - e^{x} & if x \leq 0 a + [- x] & if 0 < x < 1 2 x - b & if x \geq 1 \end{matrix}$ where $[x]$ is the greatest integer less than or equal to $x$ . If $f$ is continuous on $R$ , then $(a + b)$ is equal to

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