# Max and min application

**Algebra**Level 4

\[\large y=\dfrac{x^2-3x+c}{x^2+3x+c}\]

If the maximum and minimum values of \(y\) given above are \(7\) and \(\dfrac 17\), respectively, find the value of \(c\).

\[\large y=\dfrac{x^2-3x+c}{x^2+3x+c}\]

If the maximum and minimum values of \(y\) given above are \(7\) and \(\dfrac 17\), respectively, find the value of \(c\).

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