3. Consider the iterative rules you wrote in Problem 2. (a) Explain why the rules are functions. (b) Your friend says that because the rules are functions, they can be graphed and must have y-intercepts. How would you respond to your friend’s comment? (c) Your friend uses your rules to determine the outputs when the inputs are 18.5. Explain why her outputs are meaningless in this situation. What would you tell her about the inputs she can use? Answer:

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.

(a) The rules are functions because each input has only one output. You can test this out, it's true.

(b) So we did have to find the "y-intercept" earlier. But you have to look at the domain. There won't be any amount paid on Week 0, payment starts at Week 1. So you would have to respond that yes, they can be graphed, but there's no y-intercept; the graph starts at week 1. Additionally, there are only data points at the integer values of x. Look at part c.

(c) The outputs are meaningless because you're counting the time by weeks. There won't be any amount paid in the middle of the week, so she can only use integer inputs.

Learn more about function from:

https://brainly.com/question/12431044

#SPJ1