If f(x) defined as given below, is continuous on R, then the value of a+b is equal to f(x)={\\begin{array}{c}\sin \\\x & & x \leq 0 \ x^2+a & & 0&lt\ x&lt\ 1 \ b x+3 & & 1 \leq x \leq 3 \ -3 & & x&gt\\3\end{array}.

VITEEE 2024 Paper

Question : 74 of 125

Marks: +1, -0

If f(x) defined as given below, is continuous on R, then the value of a+b is equal to
$ f(x)={\{\table sin \;x, , x ≤ 0 ; x^2+a, , 0< x< 1 ; b x+3, , 1 ≤ x ≤ 3 ; -3, , x>3 }.
$

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