Decide whether the Intermediate Value Theorem applies to the given function on the indicated interval. If so, find c as guaranteed by the theorem. If not, state the reason. Answer F(x) = 6x x-7 on [0, 14]; F(c) = 14 O Yes, the Intermediate Value Theorem applies and c = 49 4 O No, the Intermediate Value Theorem does not apply because F(x) is not continuous at x = 7. O No, the Intermediate Value Theorem does not apply because F(c) = 14 is not between F(0) and F(14). O Yes, the Intermediate Value Theorem applies and c = 7. K Keyboard SH

Consider the function. f(x) = ¹ + 10 Determine the intervals on which f is increasing, decreasing, concave up, and concave down. (Give your answer as an interval in the form (, ). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(".")", "[","]" depending whether the interval is open or closed. Enter if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such intervals exists.) f is increasing on: f is decreasing on: f is concave up on: fis concave down on: Identify the asymptotes of f. (Give your answer as a comma-separated list of equations. Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give any asymptotes in the form of an equation in terms of x and y. Enter DNE if no such asymptote exists.) vertical asymptote(s): horizontal asymptote(s): Use the graphing utility to graph f. f(x) = X desmos