If $f (x) = x^{2} - 4 x + 3$ , find value of F(2) - F(1)

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Solution

If $f (x) = x^{2} - 4 x + 3$
$F (2) = 2^{2} - 4 (2) + 3$
$= 4 - 8 + 3$
$= - 4 + 3$
$= - 1$
$F (1) = (1)^{2} - 4 + 3$
$= 1 - 4 + 3$ $- 3 + 3$
$= 0$
$F (2) - F (1)$
$= - 1 + 0$
$= - 1$

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