7) For the following function f(x), determine whether or not 1136 ((x) mists. If so, give the limit. Explain how you x determined your answer. a) Let xx) = %. Compute r '(3) using the limit denition of the derivative. Provide an appropriate response. 9) List the three conditions that must be met for a function to be continuous. 10) Use the graph of f to determine which of the three conditions that you listed above fails for x =2 and repeat for x = -Z Name all that apply. Skills check 3 MT 175 Name Please show all work for full credit. Circle or otherwise clearly indicate your final answer to each question. 1) Find the derivative of f(x) = 7x - 19. Use the graph of the curve y = f(x) to answer the question. 2) The curve y = f(x) is given below as well as the tangent line at x = 3. The equation of the tangent line at x = 3 is y = 3x - 7. Find f(3) and f'(3). Find the derivative of f(x) at the given value of x. 3) f(x) = x3 +3, atx =8 4) Find the derivative of f(x) = -. Write your answer without negative expoinents and in radical form Calculate the following limit(s) if they exist. 5) lim (x3 - 2x + 5). X--1 State your simplified answer or "does not exist". 6) lim - x2 - 8x + 15 x-5 x2 - 7x + 10 State your simplified answer or "does not exist"