2. Determine the critical points of the given function and classify the nature of each critical point. (i.e. is the critical point a local min / local max / or inflection point) x²-7 f(x) = x+4

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 2 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?

Find f(1) and f(2). f(x)=x+7

A company that makes and sells baseball caps has found that the total monthly cost C in dollars of producing x caps is given by the function C(x)=0.2x280x+9000. Find the production level that will minimize the monthly cost and find the minimum cost.