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

Greatest Integer Function

The range of ...

Question

The range of the function $f (x) = [{2 x + 3}]$ is
$([.]$ represents the greatest integer function and ${x}$ is the fractional part of $x)$

{3}

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

{0}

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

{0, 1}

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

{1}

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

Open in App

Solution

The correct option is B ${0}$
Domain of $f$ is $R$ .
$0 \leq {2 x + 3} < 1$
$∴ [{2 x + 3}] = 0$

Suggest Corrections

Similar questions

f (x) = [{2 x + 3}]

([.]

{x}

x)

f (x) = [{2 x + 3}]

[.]

{x}

x)

f : A \to R^{+}

f (x) = {log}_{{x}} (\frac{x - [x]}{| x |})

[.]

{.}

B

f

R^{+} - B

f : A \to R

f (x) = {log}_{{x}} (\frac{x - [x]}{| x |})

[.]

{.}

B

f

R - B

x

| 2 x - 1 | = 3 [x] + 2 {x}

[.]

{.}

Join BYJU'S Learning Program