JEE MATHEMATICS MCQ: FUNCTIONS

1 Medium

1 of 1

Understanding +4 | -1

Which of the following is/are the polynomial function?
I.

f(x)=x^3-x^2+2, \forall x \in R

II.

f(x)=x^4+\sqrt{2} x, \forall x \in R

III.

f(x)=x^{2 / 3}+2 x, \forall x \in R

View answer and explanation

Correct option: A

I, II

Option A (I, II) is correct because polynomial functions have non-negative integer exponents for the variable x, which is true for both I and II. Function III has a fractional exponent (2/3), so it's not a polynomial.

More Questions from FUNCTIONS

Practice All Chapter MCQs →

f:(-\infty, 2] \longrightarrow(-\infty, 4]

, where

f(x)=x(4-x)

, then

f^{-1}(x)

is given by: If

g(f(x))=|\sin x|

and

f(g(x))=(\sin \sqrt{x})^2

, then Let

f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

be defined by

f\left( x \right) = x - \left[ x \right]

, then

{f^{ - 1}}\left( x \right)

equals Let

f: R \rightarrow R

be defined as

f(x)=x^4

, Choose the correct answer. Which of the following functions are odd functions Let

f(x)=(x+1)^2-1(x \geq-1)

. Then the set

S=\left\{x: f(x)=f^{-1}(x)\right\}

contains