Answer:
1. Continuous function
2. Discrete function
3. Continuous function
4. Discrete function
Step-by-step explanation:
A Discrete function is a function that the different values found from the function are distinct and do not have correlation between them such that the values of a discrete function are definitive such as 4, 3, rather than 6.26
A continuous function is one that does not contain abruptness or discontinuities such that given values of input has a relative output and where the change in input is sufficiently small, the output change will also be small
Therefore;
1. Converting units is correctly modeled as a continuous function as for every input of the x-variable, kilogram, there is a corresponding y-variable, pound and the graph is as displayed because to find the mass in pounds, we multiply the mass in kilogram by a constant factor equal to the slope of the graph
2. Email received to the day they were received is a discrete function, as the number of mails received one day is not related to the number of mails received the next day. Therefore, each day has unique number of mails
3. The distance a car travels y in x hours is a continuous variable as the distance traveled and the time of the car are directly related with the speed of the car and values in fraction of the distance can exist
4. The total number of riders who have ridden on the roller coaster after x rides is discrete being that there can be no grey areas in the value of the function.
