Question

let the function f definedbe defined as: f(x)= 4a if x</=-2, 3x^2 if -2<x</=1, x+b if x>1. Determine the values of the consonants a,b, so that f is continuous at x=-2 & x=1

Answer 1

At the point x=-2: $4a=3*(-2)^2 \to a=3.$

At the point x=1: $3*1^2=1+b\to b=2.$