Question

What is a reasonable domain and range for the function in #13 If the frame must be at least 1 inch and no more than 3 inches wide

Answer 1

`Domain: \{1 \le x \le 3\}`

Explanation:

Given

See attachment for options

Required

Determine the domain and the range

From the question, we understand that:

`x \ge 1` --- at least 1 inch

`x \le 3` --- not more than 3 inches

So, the domain is:

`x \ge 1` and
`x \le 3`

Rewrite as:

`1 \le x` and
`x \le 3`

Combine both:

`1 \le x \le 3`

Hence, the domain is:

`Domain: \{1 \le x \le 3\}`

There is no available to determine the range.

A general rule is that, substitute the limits of the domain (i.e. 1 and 3) in the function formula, the result is the range of the dataset.

For instance:

`A(x) = 5x`

We have:

`A(1) = 5*1=5`

`A(3) = 5*3=15`

The range will be:

`Range: \{5 \le A(x) \le 15\}`