For the function f(x)=xe-x^2 determine the coordinates of all intercepts, critical points and points of inflection

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?

Use the Vertical Line Test to determine whether the graph represents y as a function of x.

The graph of f(x)=10x is reflected about the x-axisand shifted upward 7 units. What is the equation ofthe new function, g(x) ? State its y-intercept, domain,and range.