Domain, Range of Relation - Practice Questions & MCQ

The domain of the function

If defined by , is onto, then the interval  of is

The range of the function  is

What is the domain of the following relation $\mathrm{R}=\{(1,3),(-1,2),(3,1),(1,-2)\}$ ?

What is the range of the relation R, where R={(x,y):x-y=3 and x,y$\in$N and y<4}

If $\frac{6 a^2-5 a-3}{a^2-2 a+6} \leq 4 \quad$ the least and the highest value of $4 a^2$are

Find the range of the function $y=f(x)$ if its graph is

The domain and range of the function f given by $f (x) = 2 - \left |x -5 \right |$ is

Find the domain $f(b)=\frac{1}{\sqrt{b-5}}+b^2+\frac{1}{\sqrt{b+7}}$

if $y=\frac{1}{(x+3)(x+2)-(3 x+5)}$, find all the possible values of $x$.