Find the average rate of change of g(x) = 8x² + 4 X4 on the interval [-2,4]

Consider the function f(x) = 6 – 2x on the interval [- 2, 8]. Find the average or mean slope of the function on this interval, i.e. f(8) – f( – 2) 8 - (– 2) By the Mean Value Theorem, we know there exists a c in the open interval ( – 2, 8) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

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)).