Find the average of the function h (x) == 4x² – x + 5 on the interval [-2,3]. %3D Average=

Consider the function f(x)=x^5 - 5x^4 a. Find where the function is increasing and decreasing.   b. List any relative extrema as ordered pairs. Label as max/min.

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)).

Find the range of values of x for which f(x)=x^3-5x^2-8x+2 is decreasing.