Question

Find the domain of the function represented by the graph. Determine whether the domain is discrete or continuous. Explain. The function y=30+ 5x represents the cost y (in dollars) of having your dog groomed and buying x extra services

Answer 1

Given:

There are given the equation:

`y=30+5x`

Step-by-step explanation:

From the function:

`y=30+5x`

According to the given function:

We can put the negative value also for the value of x.

So,

From the concept of domain:

The domain of the expression is all real numbers except where the expression is undefined.

So,

In this case, there is no real number that makes the expression undefined.

Then,

The domain of the given equation is shown below:

`(-\infty,\infty)`

And,

According to the domain:

We can put a negative and positive value.

So,

The domain represents discrete.

Final answer:

Hence, the domain of the given function is shown below:

`(-\infty,\infty)`

And,

The domain represents discrete.