(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine the values ofk,L,mandnsuch that the following function g(x) is continuous and differentiable at all points

2. Relevant equations

2x^{2}-n if x<-2

mx+L if -2≤x<2

kx^{2}+1 if x≥2

3. 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

2x^{2}-n = mx+L for x=-2

mx+L = kx^{2}+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

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# Homework Help: Find the Values for which the function is continuous

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