Chapter 5.2, Problem 23E

Select the statement that is false about the difference quotient.   The difference quotient can be represented by f(x+h)−f(x)(x+h)−x or f(x+h)−f(x)h The difference quotient is a more general form of the average rate of change of a function on an interval h units long. The difference quotient describes the general behavior of a function over some interval h units long when the rate of change is not constant. As the value of h gets smaller and smaller, the value of the difference quotient becomes a better and better approximation of the average rate of change of a function f near (x,f(x)). As the value of h gets larger and larger, the value of the difference quotient becomes a better and better approximation of the average rate of change of a function f near (x,f(x)).

The function C gives the number of bushels of corn produced on a tract of farmland that is treated with f pounds of nitrogen per acre. (a) Is it possible for C(95) to be negative? Explain. C(95) ---Select--- (b) What are the units on O bushels O pound per acre O bushels per pound/acre O pound per acre/bushel (c) Is it possible for be negative since the smallest amount of bushels of corn produced that can be produced is d=95 ? If = 95 dfff=95 ---Select--- be negative if the amount of corn produced is ---Select--- as additional pounds of nitrogen beyond 95 pounds per acre are applied. to be negative? Explain.