1)a)Let j(x)=2f(x). How are the graphs of f and j related?b) let k(x)=1/2f(x). How are the graphs of f and k related?c) let m(k)=-2f(x). How are the graphs of f and m related?2)Suppose that P(x) is a polynomial of degree 5.a) what is the natural domain of P?b) How many x-intercepts can the graph of P have?c) How many y-intercepts can the graph of P have?d) Is it possible that P has no real roots? Justify.e) Is it possible that P(x)is equal to or

(a) Let g(x) = f(x +2). How are the graphs of f and related? (b) Let h(x) = f(x) +2. How are the graphs of f and b related? (a) Let j(x) =2f(x). How are the graphs of f and j related () Let k(x) = - f(x). How are the graphs of f and related? (c) Let m(x) = -2f(x). How are the graphs of f and related?4. Show that (x4 - 1)/(x2 + 1) is a polynomial. 5. Is (x3 + 1)/(x + 1) a polynomial? Justify your answer. 6. Suppose that P(x) is a polynomial of degree 5. (a) What is the natural domain of P? (b) How many x-intercepts can the graph of P have? (c) How many y-intercepts can the graph of P have? (d) Is it possible that P has no real roots? Justify your answer. (e) Is it possible that P(x) 1 is a constant. (a) What is th 26. f32. f (x) = 1 1 + COS X 33. f(x) -1 2 + sin xdollars) t years after the account was established. What is the meaning of B'(t)? 12. Suppose that f is the linear function f (x) = 2 -5x. Explain why f' is the constant function f'(x) = -5. It won 13. Suppose that g is the linear function g(x ) = 3x - 1. (a) If x increases by Ax, by how much does the value of g increase? (b) Evaluate g'(x). of modi , y Is 20] S = (2) 1 1 14. Let f be the function shown graphically in Figure 3. Use the grid on the graph to