Families of Functions A family of functions is given.In parts (a) and (b) graph all the given members of the family inthe viewing rectangle indicated. In part (c) state the conclusionsthat you can make from your graphs.-69. f(x) = x² + e(a) c = 0, 2, 4, 6; [-5, 5] by [-10, 10](b) c = 0, -2, -4, –6; [-5, 5]by[-10, 10](c) How does the value of c affect the graph?

Answered: Image /qna-images/answer/4a84b98b-9518-4e5e-bcf2-e8fcf74d0303.jpg

Answered: Families of Functions A family of…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.2: Graphs Of Functions

Problem 69E

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Similar questions

Average Rate of Change The graphs of the functions f and g are shown. The function _____ (f or g) has a greater average rate of change between x=0 and x=1 .The function (f or q) has a greater average rate of change between x=1 and x=2 .The functions f and q have the same average rate of change between x = ____ and x = __.
Magazine Circulation: The circulation C of a certain magazine as a function of time t is given by the formula C=5.20.1+0.3t Here C is measured in thousands, and t is measured in years since the beginning of 2006, when the magazine was started. a. Make a graph of C versus t covering the first 6 years of the magazines existence. b. Express using functional notation the circulation of the magazine 18 months after it was started, and then find that value. c. Over what time interval is the graph of C concave up? Explain your answer in practical terms. d. At what time was the circulation increasing the fastest?. e. Determine the limiting value for C. Explain your answer in practical terms.
The function f graphed below is defined by a polynomial equation of degree 4 .use the graph to solve the exercises. (a) if f is increasing on an interval then the y-values of the point on the graph _______ as the x-values increase. From the graph of f we see that f is increasing on the interval _______and ________. (b) If f is decreasing on an interval, then the y-values of the points on the graph_____ as the x-values increases. From the graph of f we see that f is decreasing on the interval_____ and______.
Average Speed A driver’s average speed is 50 miles per hour on a round trip between two cities 100 miles apart. The average speeds for going and returning were xand ymiles per hour, respectively. (a) Show that y=25xx25. (b) Determine the vertical and horizontal asymptotes of the graph of the function. (c) Use a graphing utility to graph the function. (d) Complete the table. (e) Are the results in the table what you expected? Explain. (f ) Is it possible to average 20 miles per hour in one direction and still average 50 miles per hour on the round trip? Explain.
Families of Function Draw graph of the given family of functions for c=0.25,0.5,1,2,4 . How are the graphs related? f(x)=2cx
Local Maximum and Minimum ValuesThe graph of a function f is given. Use the graph to estimate the following. (a) All the local maximum and minimum values of the function and the value of x at which each occurs. (b) The intervals on which the function is increasing and on which the function is decreasing.
Graphical Addition Two Functions, f and g ,are given. Draw graphs of f , g , and f+g on the same graphing calculator screen of the illustrate the concept of graphical addition. f(x)=x2+1,g(x)=3x2

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