Suppose that f is a function with lim f(x) =b (where b is a constant). Which of the following must be true? Select all that apply. The graph of f will never cross the line y=b. O The graph of f crosses the line y=b at most once. O The line y=b is a horizontal asymptote of f . Of has a vertical asymptote at a=b. O The values of f get infinitely large as a approaches b. O lim f =b . I-0+ lim f(x) =b. I-+-00For each statement, explain why it must be true, or use an example to show that it can be false. - If y=f(:r:) has a horizontal tangent line at :2: =1 then y=g(w}. where 9(a) =f(a':1)l1 , has a horizontal tangent line at 2: =2 . . A tangent line always has exactly one point in common with the graph of the function