JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

f: R \rightarrow R

is the function defined by

f(x)=\frac{e^{x^2}-e^{-x^2}}{e^{x^2}+e^{-x^2}}

, then

View answer and explanation

Correct option: D

None of the above

Option D (None of the above) is correct because the function is neither strictly increasing nor onto.

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f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

x

f\left( x \right) = {x^2} + ax + 1

a

f(x)=

\sin x-\cos x-a x+b

f(x)=x e^{x(1-x)}, x \in R

f

g

fog

f\left( x \right) = {x^3} + b{x^2} + cx + d

0 < {b^2} < c

\left( { - \infty ,\;\infty } \right)