QuizQuestion 1 (10 points)SavedThe figure below shows the graph of f ', the derivative of the function f, on the closed interval from x = -2 to x = 6. The graph of the derivative has horizontal tangent lines at x = 2 and x = 4.Find the x-value where f attains its absolute minimum value onthe closed interval from x = -2 to x = 6. Justify your answer. (10 points)

Question 2 (10 points)

A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of the car is 0 and its position is 10.What is the total distance the car travels in this 30 second interval? Your must show your work but you may use your calculator to evaluate. Give 3 decimal places in your answer and include units.(10 points)