Answer each question in this four corner activity. f(x) = x - 3x - 28, g(x) = x + 4, and h(x) =- 2/x + 41 Use the functions above to evaluate the following limits. If a limit does not exist, write DNE. -5 1. lim f ( x ) g(x) The graph fo f(x), shown above, has a vertical asymptote at x = 6. Use the graph to evaluate the following limits. 2. lim 9(x) If a limit does exist, write DNE. * -7 f(x) 1. lim f(x) 2. lim f(x) x- 2 * - -2 3. lim f(x) 4. lim f(x) 3. lim g (x) x7-2 x -6 x-4+ + h(x) 5. lim f(f(x)) x- 2 Sketch a graph that meets the following criteria. 1. Which limit from the upper right corner does not exist 1. lim g(x) = 2, lim g(x) =- 1, and g(1) = 0 for the same reason as problem 2 on the upper left corner? 2. Sketch a graph of the limit described in the first problem from the top left corner. 2. lim h(x) =- co, lim h(x) =+ co, x - 2" lim h(x) = 2, lim h(x) =- 2 *- -00 x-0 3. Using problem I from the bottom left corner, explain the difference between finding g(1) and lim g(x). x- 1 Mr. Tony Record, Avon High School (except upper right corner #5)