Given a function f, we define the difference quotient as: M Example Given the function g(x) = x* 1, its difference quotient is gx+h)g(x) (x*>+2xh+h*-1)(x*-1) B T " 2xh + h? = _h(2x +h) = =2x+h PROBLEM 3 For each of the functions below, determine the difference quotient and simplify when possible. Each problem is worth 1 points; partial credit is given. All work must be shown and answers must be simplified to receive full credit. a) f(x)=x+3 b) gx)=x*+2x ) h(x) = PROBLEM 4 Show that the difference quotient represents the slope of the line that passes through two points on = f(x), namely the slope between (x, f(x)) and ((x + h), f(x + h)). [Hint: begin with the definition of slope of a line.] This problem is worth 1.5 points; partial credit is given