Calculus
posted by Ashley on .
Find the constants a and b such that the function is continuous on the entire line
f(x){7, x is less than or equal to 3
ax+b, 3 is less than x is greater than 4
7, x is less than or equal to 4

you need a smooth transition from (3,7) to (4,7)
y7 = 14/7 (x+3)
or
y = 2x + 1
so, a=2, b=1