Suppose that the slope of the line tangent to the graph of a function f at the point (x, f(x)) is xVx+5. Find f (x) given that the graph of f passes through the point (3, 0).

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?

When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal compression from a vertical compression?

When examining the formula of a function that is the result of multiple transformations, how can you tell a reflection with respect to the x-axis from a reflection with respect to the y-axis?