Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN: 9781305071742
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
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Question
Chapter C, Problem 5E
To determine
The most appropriate graph of the equation
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Students have asked these similar questions
(a) Graph f(x) = 2x and g(x) = 12 on the same Cartesian plane.(b) Shade the region bounded by the y-axis, f(x) = 2x , and g(x) = 12 on the graph drawn in part (a).(c) Solve f(x) = g(x) and label the point of intersection on the graph drawn in part (a).
The graph of y=f(x) contains the point (-5,2) what point must lie on the graph resulting in:
a. If the graph is reflected about the y axsis
b. If the graph is reflected about the x axsis
c. If the graph is translated up 4 units
d. If the graph is reflected about the x a sis then shifted down by 2 units
e. If the graph is horizontally stretched by a factor of 2
f. f(-x)-2
g. -f(x+2)
h. 0.5f(x)
i. 3f(0.25x)
j. f(x+1)+3
0<x<2pi
F(x)=-4cosx
G(x)=2cosx+3
graph f(x) and g(x) on the same coordinate system for 0<x<2pi and solve f(x)=g(x) on [0,2pi] and label point of intersection on the graph (both x and y values)
Chapter C Solutions
Algebra and Trigonometry (MindTap Course List)
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- x) Consider the graphs of y1 = f(x) and y2 = f(2x + 7). Make a prediction about how these graphs are related. In particular what does the graph of y2 = f(2x + 7) look like in comparison to y1 = f(x)? y) Suppose that, in addition, we know that f(x) = x2. Graph y1 = f(x) and y2 = f(2x + 7). Make sure you measure the horizontal distance between the vertices of the two graphs. How do your findings fit with your expectations from part a)? z) When we graph y = Af(Bx + C) + D, based on our knowledge of the graph of y = f(x) and assuming that A, B, C and D are constants, does the order in which we carry out the four transformations matter? What order would you recommend?arrow_forward(a) Graph f1x2 = 3-x+1 and g1x2 = 3x-2 on the same Cartesian plane.(b) Shade the region bounded by the y-axis, f1x2 = 3-x+1, and g1x2 = 3x-2 on the graph drawn in part (a).(c) Solve f1x2 = g1x2 and label the point of intersectionon the graph drawn in part (a).arrow_forward1st graph.) A coordinate plane has "People (in thousands)" on the horizontal axis and "Years since 2000" on the vertical axis. The origin is at (0, 20000). The curve enters the window at approximately 1.8 on the positive horizontal axis, goes up and right becoming less steep, changes direction at the approximate point (10, 46600), goes down and right becoming more steep, and exits the window at approximately 18.2 on the positive horizontal axis. 2nd graph.) A coordinate plane has "Years since 2000" on the horizontal axis and "People (in thousands)" on the vertical axis. The origin is at (0, 20000). The curve enters the window at approximately 2.7 on the positive horizontal axis, goes up and right becoming less steep, changes direction at the approximate point (12, 46600), goes down and right becoming more steep, and exits the window at approximately 21.3 on the positive horizontal axis. 3rd graph.) A coordinate plane has "Years since 2000" on the horizontal axis and "People (in…arrow_forward
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