a. Consider the following quadratic function,

Find the x and y-intercepts and the vertex for f(x). Give both the exact solution and decimal solution (with 4 significant figures) for the x-intercept. Use EXCEL to graph this function, choosing a domain that includes the x and y-intercepts and the vertex for f(x).

b. Now consider these functions, f(x) and g(x). Find the x and y-intercepts for both functions. Give the slope of the line. Find all points of intersection between the curves:

For all the intercepts and points of intersection give the decimal value to 4 significant figures. Use EXCEL to graph these functions. Choose a domain such that the graph clearly shows all the points you identified above.

c. Consider the following linear and rational functions,

Find the x and y-intercepts both for f(x) and g(x). For g(x), find any vertical or horizontal asymptotes. Use Maple to graph these functions for x [-6,6] with the range restricted so that -10 < y < 10. Use the graph and Maple to help you find all points of intersection, giving both the x and y values (give the decimal value to 4 significant figures).