3. Given the functionf(x) = -(7x - 14)(10x + 80), do the following. (a) State the degree of f. (b) Find the zeros of falong with their multplicities. (c) State the values of x for which the graph of fis tangent to the x-axls, and Justify your answer. (d) Evaluate lim f(x) x- and lim f(x) x. (e) Using parts (a)-(d), include a sketch of the graph of f(x). The axes need not be scaled. 4. The function fis defined by f(x) (3x+6)/(2-x),where x 2. (a) Find the equation of the vertical asymptote of the graph of f. (b) Find the equation of the horizontal asymptote of the graph of f. (c) Find the coordinates where the graph of fcrosses the x-axis. (d) Find the coordinates where the graph off crosses the y-axis. (e) Sketch the graph of fon the axes below. 15- 10- 5- -is -10 -5 0 5 10 15 -5- -10- -15- The function g is defined by g(x)=ax+6/2-x, where x 2. Given that g(x) = g(x), find the value of a