Given that f(x) = 2x^3+9x^2-60x+70, Find the local maximum and local minimum for f(x)

Express the quadratic function f(x)=x2x6 in standard form, and sketch its graph.

Use the graph of the function of degree 5 in Figure 10 to identify the zeros of the function and their multiplicities.

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?

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.

Use a graphing utility to approximate the relative maximum of the function f(x)=4x27x+3.

How do we determine the domain of a function defined by an equation?

How do you find the domain for the composition of two functions, fg ?

A ball is thrown upward and outward from a height of 7 feet. The height of the​ ball, f(x), in​ feet, can be modeled by   F(X)=-0.1X^2+0.7X+7 where x is the​ ball's horizontal​ distance, in​ feet, from where it was thrown.  What is the maximum height of the ball and how far from where it was thrown does this​ occur?

Consider the equation below: f(x)=x^4-32x^2+3. Find the interval on which f is increasing and decreasing, find a local minimum and maximum values of f, and find the inflection points.