A.4.10.2 Card Sort: Possible or Impossible?

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. 1. The area of a square, in square centimeters, is a function of its side length, s, in centimeters. The equation A(s)=s^2 defines this function. a. Possible inputs: b. Impossible inputs:

2. A tennis camp charges $40 per student for a full-day camp. The camp runs only if at least 5 students sign up, and it limits the enrollment to 16 campers a day. The amount of revenue, in dollars, that the tennis camp collects is a function of the number of students that enroll. The equation R(n)=40n defines this function. a. Possible inputs: b. Impossible inputs:

3. The relationship between temperature in Celsius and the temperature in Kelvin can be represented by a function k. The equation k(c)=c+273.15 defines this function, where c is the temperature in Celsius and k(c) is the temperature in Kelvin. a. Possible inputs: b. Impossible inputs: