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Solving a Quadratic Equation by Factorization Method

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Question

Investigate the behaviour of the function y = $3 x^{2} - 6 x + 5$ and construct its graph. Find the greatest and the least value of the function on the interval $[0, 2]$

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Solution

The minimum value of $f (x) = 2$ at $x = 1$
The maximum value of $f (x) = 5$ at $x = 2$ in interval $[0, 2]$

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