Question

Select the correct choice and fill in the answer box

Answer 1

To begin with, let us look at a few definitions that will help

A relation is a function if each x-value is paired with exactly one y-value. A vertical line test on a graph can be used to determine whether a relation is a function.

If we use a graph to check, we will have

We can see that there is no overlapping of coordinates. The table satisfies the vertical line test.

Hence, it is a function

The domain and range of function is the set of all possible inputs and outputs of a function respectively. The domain and range of a function y = f(x) is given as domain= {x ,x∈R }, range= {f(x), x∈Domain}.

The domain of the function, D is given by

`D=\mleft\lbrace-1,0,1,2,3\mright\rbrace`

The range, R is given by

`R=\mleft\lbrace-6,-1,2,5,8\mright\rbrace`