a. Consider the following quadratic function,

f(x) = x2 - 4x - 3.

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 MAPLE 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:

f(x) = 2 - x and g(x) = x3 - 2x2 - 3x + 3

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