Download App

Relations and Functions — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSRelations and Functions1 Mark
Question
Find the range of f(x) = x2 + 2, x is a real number.
✓

Answer

Here we have, f(x) = x2 + 2, x is a real number.
As x2 > 0
$\Rightarrow x^{2}+2>0+2$
$\Rightarrow x^{2}+2>2$
$\Rightarrow f(x)>2$
Hence, range of f(x) = [2, $\infty$)

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "1 Marks Question" from Relations and Functions→Relations and Functions — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

For some constants a and b, find the derivative of (ax2 + b)2
→
Express the following as the product of sines and cosines:
$\sin12\text{x}+\sin4\text{x}$
→
If Y = {1, 2, 3, ... 10}, and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.
$\text{a}+1=6,\text{a} \in \text{Y}$
→
For the following statements, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.
A lady gives birth to a baby boy or a baby girl.
→
Write down the all possible subset of the given set.
{a}.
→
A die is thrown. Find the probability that a prime number will appear.
→
Write the expression ${^\text{n}}\text{C}_{\text{r}+1}+{^\text{n}}\text{C}_{\text{r-1}}+2\times{^\text{n}}\text{C}_{\text{r}-1}$in the simplest form.
→
Write the condition for which the sum of two complex numbers $x_1+i y_1$ and $x_2+i y_2$ is a pure real number?
→
Numbers 1 to 10 are written on 10 tickets. A ticket is drawn randomly. Find the probability of the number written on it to be a multiple of 3.
→
If R is the set of real numbers and Q is the set of rational numbers, then what is R - Q?
→