Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The function $f(x)=x^3+1$ is :

Options:

increasing in [2, 3]

increasing at x= 1 only

decreasing in [2, 3]

neither increasing nor decreasing

Correct Answer:

increasing in [2, 3]

Explanation:

The correct answer is Option (1) → increasing in [2, 3]

$f(x)=x^3+1⇒f'(x)=3x^2⇒x=0$

$x$ → point of inflexion as for $x<0,f'(x)>0$

$x≥0,f'(x)>0$

⇒ increasing in R as $[2, 3] ∈ R$

increasing in [2, 3]