For the function f(x)= cases mx+2,& x<1 ^ 2 +n,& 1 x<3 2x+mn,& x 3 cases find the…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

For the function

f(x)=\begin{cases}mx+2,& x<1\\x^{2}+n,& 1\le x<3\\2x+mn,& x\ge 3\end{cases}

find the values of

m

and

n

so that

f(x)

is continuous at both

x=1

and

x=3

.

Related theory

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