Chapter 1 Test, Form 2B SCORE Write the letter for the correct answer in the blank at the right of each question. 1. Which relation is a function? A B 2. Given f(.x) = x2 + 2r. find fla - 3). Faz -40+3 Gaz + 20- 15 Haz + 801 + 3 Ja2- 40 + 6 2. 3. Find the zero(s) off(x) = x2 - 3x - 108. A -9. 12 B -12. 9 C 36 D-108 4. Find f(-8) for f(.x) = {-4 x + 3| if x +2 Jf-1(x)=4-2 18. 19. Which function is a one-to-one function? A.f(.x) = 3 2x- 5 Bfr) = 13+ 1/ CAr) = 3x+4 x 2 D f.x) = [2x] 19. 20. FINANCES George saves 15% of every paycheck plus $25. What function can be used to find the amount of his paycheck given the amount he saves? F.f(.x) = 0.15.x + 25 H Av) = X-25 0.15 Gf.x) = 25-x 0.15 J.A.x) = 0.15.x - 25 20. Bonus Iff(.r) = Vx + 2 and (fog)(x) = (x], find g(.x). B:NAME DATE PERIOD Chapter 4 Test, Form 2B SCORE Write the letter for the correct answer in the blank at the right of each question. 1. Rewrite 1400 in radians as a multiple of n. A - 140n D none of these 2. Rewrite 24 38' 42" in decimal degree form to the nearest thousandth. F 24.645 G 24.646 H 24.647 J 24.648 3. TIRES Tires are rotating at a rate of 18 revolutions per minute. Find the angular speed of the tires in radians per minute. A 97 rad/min B 18x rad/min C 36a rad/min D 72a rad/min 4. MACHINES There are 20 rollers under a conveyor belt, and each roller has a radius of 15 inches. The rollers turn at a rate of 40 revolutions per minute. What is the linear speed of the conveyor belt? F 3769.9 fi/s G 104.7 fi/s H 5.2 IVs J 62.8 It/s 5. Let tan () = = . where sin () > 0. Find the exact value of sin 0. A ; 25 D 24 25 6. Find the exact value of cos (). F ! H V3 G V3 J2 7. PATIO The are length of a sector of a circular patio is 7.7 meters, and the central angle is 1050. Find the diameter of the patio. A 4.2 m C 8.4 m B12.I m D 15.4 m 8. Identify the coterminal angle between -360 and 360 for the angle -120. F -240 G 60 H 2400 J 300 9. LOGO A circular pizza box logo has a sector with a central angle of 80 and a diameter of 16 inches. Find the area of the sector. A 44.7 in B 56.9 in2 C 178.7 in2 D 201.1 in2 10. Let (-2. -4) be a point on the terminal side of an angle () in standard position. Find the exact value of sec 0. F VS H - J - V5 10. 1 1. Write an equation of the tangent function with period " g . phase shift - -. and vertical shift -2 Ay = tan ax _8x 15/ - 2 Cy = tan + 87) By = tan (To 16x 80 - 2 Dy = tan 8x _ 37 3 40) - 2 11.NAME DATE PERIOD Chapter 4 Test, Form 2B (continued) 12. ARCHITECTURE The angle of elevation from the tip of a building's shadow to the top of the building is 63 and the distance is 220 feet. Find the height of the building to the nearest foot. 220 it F 100 ft H 178 ft G 1 12 fi J 196 At 12. 13. Assuming an angle in Quadrant i, find the exact value of tan (cos-14) 13. A 14. 14. State the period of v = 2 sin (4.x + n) - 1. F-1 G 2 H " 15. 15. Find arcsin 3. if it exists. A 30 C 120 B 60 D does not exist 16. RAMP The side view of a skateboard ramp is a triangle ABC with A = 410, B = 1070. and c = 19 feet. Find b. 16. F 10.5 ft H 27.7 ft G 13.0 fi J 34.3 fit 17. Which of the following is a vertical asymptote for the graph of y = sec.r + 3? 17. C.r = 0 D.x = 3 18. In ADEF. E = 520. d = 14. and f= 9. Find e. 18. F 8.2 HILI GIL.O J 18.4 19. GEOMETRY Mrs. Lindsay designated a triangular area in the auditorium for art 19. projects. The dimensions of the triangle are 32 feet. 26 feet. and 40 feet. What is the area of the triangle? A 49.0 ft2 B 121.0 ft2 C 296.6 ft2 D 415.2 ft2 20. 20. in ARST. r = 7.8 in.. s = 4.2 in.. and / = 3.9 in. Find R. F 15. 10 G 16.20 H 78.90 J 148.70 B: Bonus The terminal side of an angle () in standard position coincides with the line 2r -1 = 0 in Quadrant III. Find cos ( to the nearest ten-thousandth