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

Answer:

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

Step-by-step 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:

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