Question 1 1 pts 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 . The graph of / crosses the line y=b at most once. The line y=b is a horizontal asymptote of J . Of has a vertical asymptote at x =b . The values of / get infinitely large as x approaches b lim / ( - 1=b. O lim f(x)=b.Question 2 1 pts In x Where does the function f(x) = have a vertical asymptote? X+5 O At x= -5. O At x =1 . At x=0 At x =e. Of has no vertical asymptotes.Question 3 1 pts Let f(x) = Which of the following is true? x2 O lim f(x) # lim f(x) X - X - 0 O lim f(x) = 0% O lim f(x) = 0 O lim f(x) = -co O lim f(x) = /(0)Question 4 1 pt 5x Which lines are horizontal asymptotes of y= V9x-+4 Choose all that apply. Oy=0 Oy=- Ly = Oy =Question 5 1 pts Complete the following sentence: The equation of the tangent line to the curve y=2\\x +1 at x= = is y=mx+b, where m= and b= (You answers should be integers or reduced fractions.)Question 6 1 pts In a controlled experiment, yeast cells are grown and the number C of yeast cells present after hours is calculated. It is found that C() =1- +1 +1. At what rate (in number of cells per hour) is the number of cells changing at / = 10 hours? (Your answer should be an integer.)Question 7 1 pts Suppose the curve y= /(x) has a tangent line y=4x-$ at x =1 . Consider the function g(x)=2f(x)+x+1. What is the slope of the tangent line to g(x) at x = ] ? (Your answer should be an integer.)Question 8 1 pts For which value(s) of a does the curve y= x* +ax +2 have a horizontal tangent line at x = 1 ? Show your work. Do not use any differentiation rules! Upload Choose a FileQuestion 9 1 pts For 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 al x =1 then y=g(x), where g(x)=/(x-D)+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. Upload Choose a File