Question

Consider the function y = 1/x.
A. What happens to the value of the function as the value of x gets very large?
My answer: the value of the function increases.
B. For what value of x is the function undefined? Explain why.
My answer: 0, because it is not included in the domain.

Please help - I'm not sure about my answers.

Answer 1

A, No
Try experimenting with your calculator
if x = 5000, y = 1/5000 = .0002
if x = 9,000,000, y = 1/9000000 = .000000111..
....

B. yes, x = 0 is not in the domain or else we would have
1/0, which is undefined.

Answer 2

Oh okay, so the value of the function would decrease right?
Because if x = 1, y = 1 but if x = 5, y = 0.20

Answer 3

obviously