continuity and differentiability challenge problem

hey guys

the question is:

3ax - 7, x<2

ax^2 + bx + 1, x is greater than or equal to 2

find a and b so that the function is continuous and differentiable

i already put them equal to each other but at the end i get a-b = 4

can someone please help me find out how to solve it, if it is even possible

Re: continuity and differentiability challenge problem

Quote:

Originally Posted by

**ubhutto** the question is:

3ax - 7, x<2

ax^2 + bx + 1, x is greater than or equal to 2

find a and b so that the function is continuous and differentiable

i already put them equal to each other but at the end i get a-b = 4

can someone please help me find out how to solve it, if it is even possible

If

You need to make