Answer 1

The given function is `f(x) = {(kx^2, "," if x<= 2),(3, "," if x > 2):} `

The given function f is continuous at x = 2, if f is defined at x = 2 and if the value of fat x = 2 equals the limit of f at x = 2

It is evident that f is defined at x = 2 and `f(2) = k(2)^2 = 4k`

Therefore, the required value of  `k= 3/4`