13. Find f ' (x), for each of these functions. b . f ( x ) = = x+ 27 c. f ( x ) = - 5 a. f ( x ) = Vx-2 x - 3 14 . Given the graph of f (x) , sketch the graph of a . 8 (x ) = f(x) +2 b. k (x ) = 2.f (x) C . h (x) = f (x-1) d. m (x ) =-f(x+2) -1 Perform these tasks by referring to the function f (x) = -2x2 + 6x +11. a. find the vertex of the parabola C. find the x-intercept(s) find the y-intercept d. sketch the graph of the parabola A pool company treats pools chemically for algae. If the algae content is given by A (t ) = 20t- -800t + 8500, where is the number of days after the pool has been treated, how many days after a treatment will the algae content be a minimum? The profit P (in dollars) for a movie-rental machine is P(x) = -0.02x-+5x -110 , where x is the number of movies rented per day. What is the maximum profit per day and how many movies must be rented for the maximum profit? Find a polynomial function of least degree with integer coefficients that has the following values as some of its zeros. may leave your answer in factored form. a. x =3 X = x = - C . 4 x =-2+5i x=1 b . x =4+V3 x =0 Given the function f (x) =3x +17x+12x-6, a. describe the end behavior b. list all possible rational zeros C. use the information in part b) to find all zeros of the polynomial function Solve the equation x* - 8x + 21x - 40x +80 =0. Find all zeros of the function and describe the end behavior given f (x) = x* - 4x -32. Find all zeros of the function given f (x) = x* -10x3 + 34x2 - 42x +9. Find all zeros of the function given f (x) = 2x' + 13x2 + 56x + 25