Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If $f(x)=x^3+3x^2+10x+2\sin x$, then range of the function is

Options:

(0, 2)

(− ∞, ∞)

(− ∞, 0)

(0, ∞)

Correct Answer:

(− ∞, ∞)

Explanation:

$f(x) = x^3 + 3x^2 +10x + 2\sin x ; −∞ < x^3 + 3x^2 +10x < ∞$ as a cubic polynomial.

So, $−∞ < x^3 + 3x^2 +10x + 2\sin x < ∞$