The function f(x) = x^2 is increasing in the interval - Vidyadip

MCQ

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

A
$( - 1,\,1)$
B
$( - \infty ,\,\infty )$
✓
$(0,\,\infty )$
D
$( - \infty ,\,0)$

✓

Answer

Correct option: C.

$(0,\,\infty )$

c
(c) $f(x) = {x^2} \Rightarrow f'(x) = 2x > 0$ (for increasing)

$i.e.,$ $0 < x < \infty $. Thus $f(x)$ is increasing in $(0,\infty )$.

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