Finding the values of constants a and b

Question

{ ax+3, if x ≤ 5

f(x)={ 8 , if x=5 to be continuous for all x

{ x^2+bx+1, if x>5

I'm looking at a blank paper for minutes now, and I still don't understand how I am supposed to find the value of the constants. This is only the first question of the 10, I only need an example to have an answer to the rest. Can you help me with this?

Answer 1

Plug in x = 5 into the top and bottom rules (for x < 5 and x > 5) and set the expression = 8. Then solve for a and b.