Question

State the domain using an appropriate notation and evaluate f(2)

Answer 1

`\begin{gathered} \text{Domain=}\mleft\lbrace-7,0,2,8\mright\rbrace \\ f(2)=5 \end{gathered}`

Explanations:

The domain of a function or coordinates of a function are the input values of the function "x" for which the function exists.

For instance, given the coordinates of the function {(-7, 2), (0, -2), (2, 5), (8, 1)}, the corresponding value of the x-coordinates are the domain. Therefore the domain of the given coordinate points are given as;

`\text{Domain}=\mleft\lbrace-7,0,2,8\mright\rbrace`

Get the value of f(2).

To get the value of f(2), we will find the y-value of the coordinate with a domain of 2. From the given coordinates, we can see that the coordinate that has a domain of 2 is (2, 5) and the corresponding y-value of the coordinate is 5. Hence f(2) = 5