Help me please 67,73,79,85 154 CHAPTER 3 Linear and Quadratic Functidl1s63.(c) At what horizontal distance from the face of the ali(f) When the height of the projectile is 100 feet aboeIn Problems 65–72, determine, without graphing, whether the given quadratic function has a maximum value or a minimum value(e) Use a graphing utility to verify the solutions founat an inclination of 45° to the horizontal, with a mvelocity of 100 feet per second. The height h of the prowhere x is the horizontal distance of the projectile fr86. Analyzing the Motion of a Projectile A projectile is74. The graph of the function f(x) = ax² + bx + chas w64.Vertex: (-2, 6)8(а)62.6(3, 5).41Vertex: (2, 3)(b)(с)25 X23-3-1(0, -1)-4, -2)(d)(e)(f)-4- Vertex: (1, -3)87. Maof67. f(x) = 2x² + 12r – 371. f(x) = -5x² + 20x + 368. f(x) = 4x² - &x + 172. f(x) = 4x² – 4ris66. f(x) = -2r² + 12x70. f(x) = -2r² + &r + 3then find the value.65. f(x) = 3x? + 24x69. f(x) = -x²+ 6x – 1WreApplications and Extensions88. Mfo73. The graph of the function f(x) = ax² + bx + c has vertexat (0, 2) and passes through the point (1, 8). Find a, b,and c.at (1, 4) and passes through the point (-1, -8). Fmand c.chIn Problems 75-80, for the given functions f and g:A (a) Graph f and g on the same Cartesian plane.(b) Solve f(x) = g(x).(c) Use the result of part (b) to label the points of intersection of the graphs of f and g.(d) Shade the region for which f(x) > g(x); that is, the region below f and above g.75. f(x) = 2x – 1; g(x) = x² – 477. f(x) = -x² + 4; g(x) = -2x + 179. f(x) = -x² + 5x; g(x) = x? + 3x – 489. M76. f(x) = -2x – 1; g(x) = x² - 978. f(x) = -x2 + 9; g(x) = 2x + 180. f(x) = -x² + 7x 6; g(x) = x² + x – 6thFor Problems 81 and 82, use the fact that a quadratic function of the form f(x) = ax² + bx c with b? – 4ac > 0 may also be wiin the form f(x) = a(x – r1) (x - r2), where r and r, are the x-intercepts of the graph of the quadratic function.81. (a) Find quadratic functions whose x-intercepts are -3\ 85. Analyzing the trotion of a Projectile A projectile isfifrom a cliff 200 feet above the water at an inclination dito the horizontal, with a muzzle velocity of 50 feet persamThe height h of the projectile above the water is modeleiand 1 with a = 1; a = 2; a = -2; a = 5.(b) How does the value of a affect the intercepts?(c) How does the value of a affect the axis of symmetry?90,(d) How does the value of a affect the vertex?(e) Compare the x-coordinate of the vertex with themidpoint of the x-intercepts. What might you conclude?82. (a) Find quadratic functions whose x-intercepts are -5and 3 with a = 1; a = 2; a = -2; a = 5.(b) How does the value of a affect the intercepts?(c) How does the value of a affect the axis of symmetry?- 32.x?+ x + 200502h(x) =where x is the horizontal distance of the projectile neface of the cliff.(a) At what horizontal distance from the face of thethe height of the projectile a maximum?(b) Find the maximum height of the projectile.(d) How does the value of a affect the vertex?91.(e) Compare the x-coordinate of the vertex with themidpoint of the x-intercepts. What might you conclude?83. Suppose that f(x) = x² + 4x – 21.(a) What is the vertex of f?(b) What are the x-intercepts of the graph of f?(c) Solve f(x) = -21 for x. What points are on the graphof f?(d) Use the information obtained in parts (a)-(c) tograph f(x) = x² + 4x – 21.84. Suppose that f(x) = x² + 2x – 8.(a) What is the vertex of f?(b) What are the x-intercepts of the graph of f?(c) Solve f(x) = -8 for x. What points are on the graphthe projectile strike the water?(d) Graph the function h,0 < x< 200.parts (b) and (c).water, how far is it from the cliff?is modeled byof f?(d) Use the information obtained in parts (a)-(c) tograph f(x) = x² + 2x – 8.92h(x)- 32x?+ x1002firing point

Answered: 67. f(x) = 2r? + 12x - 3 %3D

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...