Question

Find the values of a and b such that the following functions continuous {5, when x ≤ ax + b, when 2 < x < 10 21, when x ≥ 10.

Answer 1

f is continuous at x = 2

10a + b = 20 ....(1)

(1) - (2) 

-8a = -16 

a = 2 

Putting a in 1 

b=1