The function $f (x) = x^{2} + 2 x - 5$ is strictly increasing in the interval

(- 1, \infty)

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(- \infty, - 1)

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[- 1, \infty)

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(- \infty, - 1]

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Solution

The correct option is A $(- 1, \infty)$
For function to be increasing $f^{'} (x) > 0$
$\Rightarrow 2 x + 2 > 0 \Rightarrow x > - 1$

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The interval in which the function $f (x) = x e^{x}$ is strictly increasing is

f (x) = x^{2} + 2 x - 5

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