Fill in the Blanks

11. The local extrema are found by solving the equal to zero . 12. The points of inflection are found by solving the equal to zero. 13. If a function is an decreasing function, in terms of its derivatives, it means that all values of the first derivative are 14. To determine the horizontal asymptotes, take the limit of the function as x approaches. 15. The point where a function changes its is called the point of inflection. 16. To determine the behaviour of a function near its asymptotes, limits are used. 17. Vertical asymptotes are only found with functions. 18. To determine the absolute maximum or minimum, consider the of the interval as well as the local extrema.19. Determine the intervals of concavity and the points of inection for the following function f(x)= x4 +4}:3 18a:2 +12xl2 An express railroad train between two cities carries 10,000 passengers per year for a one way fare of$50. 1f the fare goes up. ridership will decrease because more people will drive. It is estimated that each $10 increase in the fare will result in 1000 fewer passengers per year. What fare will maximize revenue? (6 marks)