V K Raman and S N Sharma Solutions for Exercise 3: CONCEPT REVISION TEST-22

In a function, an element of the domain can have at most two images in the range.

In a function when there are $3$ elements in the domain there can be only $3$ elements in the range.

The domain and range cannot be interchanged in a relation.

Given $f \left(x\right) = 2x - 1$, then $f\left(0\right) =$_____

Given $f\left(x\right)=3x-4$, then the zero of the function is at $x=$_____

$R=\left\{(a,b) : a=b+2, a\in \left\{1,2,3\right\}\right\}\text{ then} b \in$_____

$R=\left\{(a, b) : a=b+1\right\}.$ Given $b \in \left\{4, 5, 6\right\} then a \in$_____

A mapping is given as 'thrice the number decreased by $5$. If the domain is $\left\{2, 3, 4\right\}$ then the range is $\left\{1, 4, y\right\}$, then $y$$=$_____