Question

2.3
score: 10.67/19 answered: 11/19
question 12
determine whether a function is being defined.
the perimeter of a rectangle is input and its length is output.
is not a function
is a function
question help: ebook

Explanation:

Step1: Recall function definition

A function is a relation where each input has exactly one output.

Step2: Analyze the rectangle - perimeter case

Let the perimeter of the rectangle be \(P\) and length be \(l\), width be \(w\). The perimeter formula is \(P = 2(l + w)\), so \(l=\frac{P}{2}-w\). For a given perimeter \(P\), there are multiple possible values of \(l\) depending on the value of \(w\). For example, if \(P = 10\), if \(w = 1\), then \(l = 4\); if \(w = 2\), then \(l = 3\). So, one input (perimeter) can have multiple outputs (lengths).

Answer:

Is not a function