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find the relative maximal and minimal

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Sketch : f(x) = -2x^3 + 26x - 24, including the full algebraic calculations of the following.

a) x & y-intercepts (Do NOT use guess & check for all x-intercepts)
b) relative maxima and minima
c) points of inflection

Calculus may be used.

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The solution provides detailed explanation how to find the relative maximal and minimal.

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When x=0, y=-24.

When y=0, -2x^3+26x-24=0. X^3-13x+12=0. X^3-1-13x+13=0. ...

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