Please provide clear explanations. Thank you. The TRUE and FALSE statements question has two statements in total (just a reminder in case you miss the second statement).

Suppose that is a function with lim f(x) =b X-+00 (where b is a constant). Which of the following must be true? Select all that apply. O The graph of will never cross the line y=b The graph of crosses the line y=b at most once. The line y =b is a horizontal asymptote of O has a vertical asymptote at x=b O The values of get infinitely large as X approaches V lim f ( * ) = 6 lim f(x)=bFor each statement, explain why it must be true, or use an example to show that it can be false. . If y=f(x) has a horizontal tangent line at x=1 then y=g(x) , where g(x) =f(x-1)+1 , has a horizontal tangent line at x =2 . A tangent line always has exactly one point in common with the graph of the function