- #1
mazz1801
- 23
- 0
Homework Statement
Determine the values of k,L,m and n such that the following function g(x) is continuous and differentiable at all points
Homework Equations
2x2-n if x<-2
mx+L if -2≤x<2
kx2+1 if x≥2
The Attempt at a Solution
So I know that for the function to be continuous the limit as x→c of f(x) must equal f(c)
And I am trying to make this function continuous for all values of k,L,m and n.
so I done the following
2x2-n = mx+L for x=-2
mx+L = kx2+1 for x= 2
and I simplified them to the following.
2m-n+5=0
2m-4k+L=0
From here I don't know what to do... I'm pretty sure that I am correct up to here but could someone just please tell me what to do now...
I don't know how to solve for 4 variables with only 2 equations