homework questions.... please help

[lexi]

let f(x)= x squared if x is less than or = to 2
mx+b if x is greater than 2

Find the values of m and b that make f differentiable everywhere

 

[wjm11]

let f(x)= x squared if x is less than or = to 2
mx+b if x is greater than 2

Find the values of m and b that make f differentiable everywhere

Hi, Lexi,

This question is checking to see if you know what conditions are necessary for something to be differentiable. Check your book for the requirements. I'll give you a big hint though. Sketch the graph. What line would tie in with the parablola at x=2 with the same slope as the parabola at that point?