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Equation of Circle in Complex Form

The number of...

Question

The number of values of $x$ for which the function $f (x) = x^{2} - 3 x + 2$ is concave down, is equal to

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Solution

$f (x) = x^{2} - 3 x + 2$
$f^{'} (x) = 2 x - 3$
$f^{''} (x) = 2 > 0 \forall x \in R$
$∴ f (x)$ is concave up $\forall x \in R$
Hence, there exists no such value of $x$ for which the function is concave down.

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Equation of Circle in Complex Form

Standard XII Mathematics

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