Use the graph of below to answer questions # 1 – 6.

1.) 2.) 3.)

4.) 5.)

6.) State the values where the function is discontinuous. _____________________

Evaluate the limits in questions # 7 - 9, if they exist .

7.)

8.)

9.)

10.) Find an equation of the tangent line to the parabola at the point . (Hint : Find the slope of the line first. ) ( 12 points )

11.) Prove the following statement using the definition of limit.

Use the following information to answer questions 12 – 13.

If a ball is thrown into the air with a velocity of 40 ft/sec, its height in feet after t seconds is given by .

12. Find the average velocity for the time period beginning when seconds and

lasting h seconds.

13. Find the instantaneous velocity when seconds.