Question

Your teacher will give you a set of cards that each contain a number. Decide whether each number is a possible input for the functions described here. Sort the cards into two groups—possible inputs and impossible inputs. Record your sorting decisions.

The area of a square, in square centimeters, is a function of its side length, s, in centimeters. The equation A(s)=s² defines this function. Possible inputs: ____
Impossible inputs:____

Answer 1

The possible inputs for the function A(s) = s², which represents the area of a square in square centimeters, are any valid values for the side length, s, in centimeters.

Step-by-step explanation:

The possible inputs for the function A(s) = s², which represents the area of a square in square centimeters, are any valid values for the side length, s, in centimeters. This means that any positive real number can be a possible input for the function. For example, if the side length of a square is 5 centimeters, the area can be calculated as A(5) = 5² = 25 square centimeters.

The impossible inputs for the function are any values that are not valid measurements for the side length of a square. For example, negative numbers or non-numeric values would be considered impossible inputs.