1. Consider the linear function f(x) = - 3x + 6. a) Write an equation of the reciprocal of f(x); name this new function g(x). b) State the domain and range of both f(x) and q(x). c) Specify the x-intercept(s) and y-intercept(s) of both f(x) and g(x). Write the equations of any asymptote(s) on g(x); specify which. e) Discuss the end behaviour of f(x) and behaviour near the asymptotes for g(x) f) Find the interval(s) where f(x) and g(x) are positive and/or negative. g) Find the interval(s) where f(x) and q(x) are increasing and/or decreasing. h) Identify any symmetry for both f(x) and g(x). i) Sketch accurate graphs of f(x) and g(x) on the same grid; show main key features. -10 9 8 7 6 5 4 -3 -2 0 1 2 3 4 5 6 7 8 9 10