Describe the three types of discontinuities that a graph might have. Use proper terminology and include a sketch for each.[4] . Explain the three criteria for a limit to exist. You may include an example to help illustrate your solution. Explain three conditions when a limit doesn't exist. You may include an example to help illustrate your solution. During the Apollo 14 mission, Alan Shepard hit a golf ball on the moon. The function that models the height of the golf ball above the surface of the moon, , in rn, after seconds is . a) What is the average rate of change of the ball's height from D to 10 seconds? _ _.,_ M? Interpret the meaning of your answer in this oontext.[4] b) Write a simplied difference quotient in terms of to estimate the instantaneous rate of change of the ball's height at 15 seconds. [4] c) Evaluate the limit of your difference quotient as . Interpret the meaning of your answer in this context. [2] d) Illustrate the graphical meaning of your answers in parts a) and c) on the graph. Include the names of the two lines and what your answers tell us about these lines. [4