Determine the value(s) of constant(s) involved in the definition so that the given function is continuous: `f(x)={4\ \ \ ,\ \ \ if\ xlt=-1,\ \ \ \a x^2+b\ \ \ ,\ \ \ ifx> -1`

Explanation

`f(x)` is continuous everywhere



`therefore lim _{x ->-1} f(x)=f(-1) `


`lim _{h -> 0} f(-1-h)=lim _{h -> 0} f(-1+h)=f(-1)`



[using basic Ideas of limits and continulty]



`lim _{h -> 0} f(-1+h)=f(-1)`


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