Question

I will post a graph and using it you have to figure out 4 things.

(i.) (lim x->60-) f(x)

(ii.) (lim x->60+) f(x)

(iii.) What can you conclude about (lim x->60) f(x)? How is this shown by the graph?

(iv.) What aspect of costs of renting a car causes the graph to jump vertically by the same amount at its discontinuities?

Answer 1

(i.) (lim x->60-) f(x) = 56

(ii.) (lim x->60+) f(x) = 68

(iii.) It can be concluded that the function is not continuous at x = 60 which is shown on the graph by the gap in the two lines at x = 60.

(iv.) the fixed cost causes the graph to jump vertically at the points of its dicontinuities.