Solve for part d

you must show algebraically how to find the aliswers. f ( x ) = 4 x2 + 1 (a) What is the domain of the function? (b) Find lim 4 x-+00 x2 + 1 and lim 4 equation of the asymptote. x-+-cox2+ 1 Does f have any asymptotes? If so, give the (c) Find the critical points of f(x). This should be a list of x-values. (d) Make a sign chart that has all critical points and vertical asymptotes marked on it. For full credit, show the work to find the sign of the derivative over the intervals. All test values need to be written down. (e) What are the intervals where the function is increasing and decreasing? Label the intervals correctly. (f) What are the relative maximum and minimum points? The answer should be in the form (x, y) and should be designated as maximum or minimum