Retain Your Knowledge Problems 95–104 are based on material learned earlier in the course. The purpose of these problems is to keep the materia. mind so that you are better prepared for the final exam. A95. Find an equation of the line that contains the point (2,-3) and is perpendicular to the line 5x – 2y = 6. 96. Find the domain of the function h (x) x- 3 %3D x + 5' 97. Use the quadratic formula to find the real zeros of the function f(x) = 4x2 + 8x - 3. 98. Solve: |5x - 3| = 7 A 99. Determine whether the function f(x) = -3x + 2 is increasing, decreasing, or constant. 100. Find the function that is finally graphed if the graph of f(x) = x² is shifted left 2 units and up 5 units. 101. The function f(x) = 2r – 3x² + 4 is increasing where its derivative f'(x) = 6x² – 6x > 0. Where is f %3D increasing? 102. Find the difference quotient of f(x) x+ 2. 3 103. The midpoint of a line segment is (3, -5) and one endpoint is (-2, 4). Find the other endpoint. 104. Find the quotient and remainder if 4x – 7x2 + 5 is divided by x2 – 1.
Retain Your Knowledge Problems 95–104 are based on material learned earlier in the course. The purpose of these problems is to keep the materia. mind so that you are better prepared for the final exam. A95. Find an equation of the line that contains the point (2,-3) and is perpendicular to the line 5x – 2y = 6. 96. Find the domain of the function h (x) x- 3 %3D x + 5' 97. Use the quadratic formula to find the real zeros of the function f(x) = 4x2 + 8x - 3. 98. Solve: |5x - 3| = 7 A 99. Determine whether the function f(x) = -3x + 2 is increasing, decreasing, or constant. 100. Find the function that is finally graphed if the graph of f(x) = x² is shifted left 2 units and up 5 units. 101. The function f(x) = 2r – 3x² + 4 is increasing where its derivative f'(x) = 6x² – 6x > 0. Where is f %3D increasing? 102. Find the difference quotient of f(x) x+ 2. 3 103. The midpoint of a line segment is (3, -5) and one endpoint is (-2, 4). Find the other endpoint. 104. Find the quotient and remainder if 4x – 7x2 + 5 is divided by x2 – 1.
Calculus: Early Transcendentals
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...
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Transcribed Image Text:Retain Your Knowledge
Problems 95–104 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in v
mind so that you are better prepared for the final exam.
A95. Find an equation of the line that contains the point (2, -3) and is perpendicular to the line 5x – 2y = 6.
96. Find the domain of the function h (x)
x – 3
97. Use the quadratic formula to find the real zeros of the function f(x)
x + 5'
%3D
4x2 + 8x – 3.
98. Solve:|5x – 3| = 7
A 99. Determine whether the function f(x) = -3x + 2 is increasing, decreasing, or constant.
100. Find the function that is finally graphed if the graph of f(x) = x² is shifted left 2 units and up 5 units.
101. The function f(x)
increasing?
2x3
3x2 + 4 is increasing where its derivative f'(x) = 6x² – 6x > 0. Where is ƒ
A102. Find the difference quotient of f(x)
1
= - -x + 2.
103. The midpoint of a line segment is (3, -5) and one endpoint is (-2, 4). Find the other endpoint.
104. Find the quotient and remainder if 4x³ – 7x² + 5 is divided by x² – 1.
'Are You Prepared?' Answers
1. (-2,0), (2,0), (0,9)
2. Yes; 3 3. Down; 4
4. True 5. b; c
bs di 4.2 Graphing Polynomial Functions; Models
o tod
PREPARING FOR THIS SECTION Before getting started, review the followine:
• Intercepts (Section 1.2, pp. 12–13)
Local Maxima and Local Minima (Section 2.3,
ocal
Build Data (Section 3.4,
pp. 160–161)
429)
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