Question

Find the domain and range of each relation. Determine if the relation is a function . question 7

Answer 1

Given:

The graph of the function is given.

To find:

The domain and range and check whether it is a function or not.

Step-by-step explanation:

Using the vertical line test, the vertical line crosses the curve exactly at one point.

So, it is a function.

It is the graph of the square root function.

The parent function is,

`f(x)=√(x)`

It is translated 4 units left. So, the function will be,

`g(x)=√(x+4)`

As we know, the domain is the set of all possible input values.

So, the domain of the function is,

`[-4,\infty)`

As we know, the range is the set of all possible output values.

So, the range of the function is,

`[0,\infty)`

Final answer:

The domain and range are,

`\begin{gathered} Domain:[-4,\infty) \\ Range:[0,\infty) \end{gathered}`

Yes, it is a function.