Please refer to the pictures I have added for the questions.

13. Multiply and simplify: (5 + 8i)(3 + 1'). Write the answer in the form a + bi, where a and b are real numbers. Answer: . . . . x + 9 14. Solve, and write the answer in interval notation: 4 S 0 . Answer: x 15. A bowl of soup at 165 F. is placed in a room of constant temperature of 75 F. The temperature T of the soup t minutes after it is placed in the room is given by m) = 75 + 90 e 41075" Find the temperature of the soup 12 minutes after it is placed in the room. (Round to the nearest degree.) Answer: 16. Find the value of the logarithm: log 4 [] . Answer: 17. Solve: 65x_ 7 = 36. Answer: 18. Suppose $6,000 is invested in an account at an annual interest rate of 4.5% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size? Answer: 19. Let f (x) = x2 - 14x + 51. (a) Find the vertex. Answer: (b) State the range of the function. Answer: (c) On what interval is the function decreasing? Answer:20. Consider the polynomial P(x), shown in both standard form and factored form. 1 4 l 3 7 z 41 l x =x x +x +x+3= x3 x+l x+2 x+5 P': ) 10 2 10 10 10': K K K ) (:1) Which sketch illustrates the end behavior of the polynomial function? A. (\"If B. M C. m D. m Answer: (In) State the zeros of the mction. Answer: (e) State the yintcrcept. Answer: ((1) State which graph below is the graph of P(x). Answer GRAPH A GRAPH B GRAPH C GRAPH D 21. Let f(x) =- 3x-9 x -2 (a) State the domain. Answer: (b) State the vertical asymptote(s). Answer: (c) State the horizontal asymptote. Answer: (d) Which of the following represents the graph of f (x) = _3x -9 x-2 ? Answer: GRAPH A. GRAPH B. 10 - 10- -10 -5 10 -10 -5 10 GRAPH C. GRAPH D. 10 - -10 -5 10 -10 5 10