Show that f(x) = - 3x^4 is an even function, and that f(x) = 4x^3 is an odd function. Among all rectangles that have a perimeter of 60, Use the properties of the Quadratic functions to determine the dimensions of the one whose area is the largest. The total revenue for Mercy's apartment is given as the function -0.1 x^2 + 100x, where x is the number of room(s) rented (a) How many rooms has to be rented to generate the maximum income? (b) What is the maximum income? (a)Determine the Difference Quotient: (f(x + h)-f(x))/h, of the function; f(x) = 3x - 2