The range of fx-4sin-1-x-x2 is

The correct option is C [ 4,4] sin is defined for all x as 1+x+x^2 gt;0 ∴ f(x) lies between [ 4,4] as sin x ∈ [ 1,1] ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Definition of Functions

The range of ...

Question

The range of $f (x) = 4 sin \sqrt{1 + x + x^{2}}$ is

[- 4, 4]

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

[0, \frac{1}{2}]

No worries! We‘ve got your back. Try BYJU‘S free classes today!

[0, 4]

No worries! We‘ve got your back. Try BYJU‘S free classes today!

[0, \frac{1}{4}]

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $[- 4, 4]$
$sin$ is defined for all $x$ as $1 + x + x^{2} > 0$
$∴ f (x)$ lies between $[- 4, 4]$ as $sin x \in [- 1, 1]$

Suggest Corrections

Similar questions

Q. Assertion(A): The range of the function

\frac{x^{2}}{1 + x^{2}}

[0, 1)

Reason

(R)

: lf

f (x) \leq g (x)

then the range of

\frac{f (x)}{g (x)}, g (x) \neq 0

[0, 1)

f (x) = \frac{x^{2} - 3 x + 4}{x^{2} + 3 x + 4} t h e n r a n g e o f f (x) i s

$L e t f (x) = \frac{x - [x]}{1 + x - [x]}, x ϵ R, [] d e n t o e s t h e g r e a t e s t i n t e g e r f u n c t i o n . T h e n, t h e r a n g e o f f i s$

The range of f(x) = $\frac{x - [x]}{1 + x - [x]}$ where [] represents greatest integer function.

Q. Let

f (x) = \frac{x - [x]}{1 + x - [x]}, x ϵ R

, where [ x] denotes the greatest integer function. Then, the range of f is

Join BYJU'S Learning Program

The range of f(x)=4sin√1+x+x2 is

The correct option is C [−4,4]sin is defined for all x as 1+x+x2>0∴f(x) lies between [−4,4] as sinx∈[−1,1]

The range of $f (x) = 4 sin \sqrt{1 + x + x^{2}}$ is

The correct option is C $[- 4, 4]$
$sin$ is defined for all $x$ as $1 + x + x^{2} > 0$
$∴ f (x)$ lies between $[- 4, 4]$ as $sin x \in [- 1, 1]$