3. Graph the equation f(x) = x and show the tangent at the point (2, 4) (pencil and paper please!). 4. A science project studying catapults sent a projectile into the air with an initial velocity of 30 m/s. The formula for height (s) in meters with respect to time in seconds is s = -4.9t + 30t. Calculate the average rate of change of the height over the intervals listed. a. from t=1 to t=3 b. from t=2 to t=3 c. from t=2.5 to t=3 d. from t=2.9 to t=3 e. What do you think might be happening close to t=3? Why?