Applying the Intermediate Value TheoremSuppose you park your car at a trailhead in a national park and begin a -hr hike to a lake at A. M. on a morning. On morning, you leave the lake at A. M. and start the -hr hike back to your car along the same trail you took to the lake. Assume the lake is from your car. Let f(t) be your distance from the car t hours after A. M. on Friday morning and let g(t) be your distance from the car t hours after A. M. on Sunday morning. A. Evaluate f(0), f(2), g(0), and g(2). B. Let h(r) = f(r) - g(t). Find h(0) and h(2). C. Use the Intermediate Value Theorem to show that there is some point along the trail that you will pass at exactly the same time of morning on both days.