For all real values of x , increasing function f(x) is - Vidyadip

MCQ

For all real values of $x$ , increasing function $f(x)$ is

A
${x^{ - 1}}$
B
${x^2}$
✓
${x^3}$
D
${x^4}$

✓

Answer

Correct option: C.

${x^3}$

c
(c) Since $f(x) = {x^3} \Rightarrow f'(x) = 3{x^2},$

which is non-negative for all real values of $ x.$

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