Question

If the function given below is continuous at x = 2 as well as at x = 4, then find the values of a and b.

f(x) = x² + ax + b, x < 2

= 3x + 2, 2 ≤ x ≤ 4

= 2ax + 5b, 4 ≤ x

Answer 1

f(x) = x² + ax + b, x < 2

Given, f is continuous at x = 2