A Relation R is given by the set x, y y =x+3, x 0,1,2,3,4,5 . Det… - Vidyadip

Question

A Relation $R$ is given by the set $\left\{\frac{x, y}{y}=x+3, x \in\{0,1,2,3,4,5\}\right\}$. Determine its domain and range.

✓

Answer

x = {0, 1, 2, 3, 4, 5} y = x + 3 when x = 0 ⇒ y = 0 + 3 = 3 when x = 1 ⇒ y = 1 + 3 = 4 when x = 2 ⇒ y = 2 + 3 = 5 when x = 3 ⇒ y = 3 + 3 = 6 when x = 4 ⇒ y = 4 + 3 = 7 when x = 5 ⇒ y = 5 + 3 = 8 R = {(0, 3) (1, 4) (2, 5) (3, 6) (4, 7) (5, 8)} Domain = {0, 1, 2, 3, 4, 5} Range = {3, 4, 5, 6, 7, 8}

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 "[5 Mark Questions]" from Relations and Functions→Relations and Functions — all question types→MATHS STD 10 question papers→Tamilnadu Board STD 10 question papers→Tamilnadu Board question paper generator→

Similar questions

The radius of a sphere increases by 25%. Find the percentage increase in its surface area

$A=\left[\begin{array}{ll}3 & 0 \\ 4 & 5\end{array}\right], B=\left[\begin{array}{ll}6 & 3 \\ 8 & 5\end{array}\right], C=\left[\begin{array}{ll}3 & 6 \\ 1 & 1\end{array}\right]$ find the matrix $D$, such that $C D-A B=0$

A solid sphere and a solid hemisphere have an equal total surface area. Prove that the ratio of their volume is $3 \sqrt{3}: 4$

If $A=\left[\begin{array}{cc}\cos \theta & \theta \\ 0 & \cos \theta\end{array}\right], B=\left[\begin{array}{cc}\sin \theta & 0 \\ 0 & \sin \theta\end{array}\right]$ then show that $A^2+B^2=I$

If -4 is a root of the equation $x^2+p x-4=0$ and if the equation $x^2+p x+q=0$ has equal roots, find the values of $p$ and $q$.

The owner of a milk store finds that he can sell 980 litres of milk each week at ₹ 14/litre and 1220 litres of milk each week at ₹ 16/litre. Assuming a linear relationship between selling price and demand, how many litres could he sell weekly at ₹ 17/litre?

Find the sum of the Geometric series 3 + 6 + 12 + …….. + 1536

The outer and the inner surface areas of a spherical copper shell are $576 \pi cm^2$ and $324 \pi cm^2$ respectively. Find the volume of the material required to make the shell

In a G.P. the $9^{\text {th }}$ term is 32805 and $6^{\text {th }}$ term is 1215 . Find the $12^{\text {th }}$ term

A vessel is in the form of a hemispherical bowl mounted by a hollow cylinder. The diameter is 14 cm and the height of the vessel is 13 cm. Find the capacity of the vessel