Suppose that f is a function with lim f(x) =b (where b is a constant). x-+00 Which of the following must be true? Select all that apply. The graph of f will never cross the line y=b. The graph of f crosses the line y=b at most once. O The line y=b is a horizontal asymptote of f . O f has a vertical asymptote at a =b. O The values of f get infinitely large as a approaches b. O lim =b. O lim f(x) =b. I-+-00Er Let f(a ) = 2 Which of the following is true? O lim f(x) * lim f(x) 1-0 I-0+ O lim f(x) = 00 1-+0 O lim f(x) = 0 I-+0 O lim f(a) = -00 O lim f(x) = f(0)Complete the following sentence: The equation of the tangent line to the curve y=2+1 at .1: :7: is y=mm+b. where m= and b= (You answers should be integers or reduced fractions.) Suppose the curve yzm) has a tangent line y=4$5 at 3:: 1 . Consider the function g(:r:) =2f(:n)+a:+1 . What is the slope of the tangent line to 9(93) at m: 1 ? (Your answer should be an integer.)