Please help answer these questions.

For the function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact. y = 3x - 6 . . . List all the points where the tangent line is horizontal. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) at which the tangent line is horizontal is(are) (Type an ordered pair. Use a comma to separate answers as needed.) O B. The tangent line is horizontal at all points of the graph. O C. There are no points where the tangent line is horizontal.The graph gives the distance, d, in miles, you are from home as a function of time, t, in hours. 3% We have d = f(t). 315 e 36 2) Find f(0). E 33 b) Use a line segment to represent the average rate of change of t) over the interval t1 = 0 to t2 =1 on the graph ofd = f(t). c) Find and interpret the average rate of AAAMMW OWIQNUm'bw Distance. d ( change. a) f(0) = V b) Refer to the segment on the graph. Distance. d (mi) Q Ad . . The value of At over this Interval can be Q represented by the Y of this segment 13' shown on the graph. c) Use the graph to nd the average rate of change over the interval t1 = 0 to t2 = 1. Ad 7 = 'r At Ad Interpret what the average rate of change E over the interval t1 = 0 to t2 = 1 found in the previous step means in the context of the situation. The average rate of change found in the previous step represents the V home. Decide from the graph whether a limit exists. If a limit exists, nd its value. Iim F(x) x>2 What is the limit? Select the correct choice below and ll in any answer boxes in your choice. O A- The limit is the real number O B. The limit does not exist. The median weight of a boy whose age is between 0 and 36 months can be approximated by the function w(t) = 9.32 +1.67t 0.004712 + 0.0004279, where t is measured in months and w is measured in pounds. Use this approximation to find the following for a boy with median weight in parts a) through c) below. a) The rate of change of weight with respect to time. W\") = b) The weight of the baby at age 11 months. The approximate weight of the baby at age 11 months is lbs. (Round to two decimal places as needed.) c) The rate of change of the baby's weight with respect to time at age 11 months. The rate of change for the baby's weight with respect to time at age 11 months is approximately Ibslmonth. (Round to two decimal places as needed.) Use the Limit Properties to find the following limit, if it exists. x2 +13 Iim 3 xmo X +7 Select the correct choice below and, if necessary, ll in the answer box to complete your choice. __ x2 + 13 I:j_,:- A. Iim 3 xmo X + 7 = (Simplify your answer.) (:3. B. The limit does not exist.