Some values of a function and its 3-unit moving average are given. Supply the missing information.Xr(x)r(x)061482615399446259X2363X2271X

Some values of a function and its 3-unit moving average To Find: supply the missing information in…

Answered: Some values of a function and its…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 17CT

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Average Rate of Change Graphs of the functions f,g , and h are shown below. What can you say about the average rate ofchange of each function on the successiveintervals [0,1],[1,2],[2,3],.......?
aThe average rate of change of a function f between x=a and x=b is the slope of the ___________ line between (a,f(a)) and (b,f(b)).
Focal Length A refracting telescope has a main lens, or objective lens, and a second lens, the eyepiece see Figure 3.42. For a given magnification M of the telescope, the focal length F of the objective lens is a linear function of the focal length Fe of the eyepiece. For example, a telescope with magnification M=80 times can be constructed using various combinations of lenses. The following table gives some samples of focal length for telescopes with magnification M=80. Here focal lengths are in centimeters. Fe 0.3 0.5 0.7 0.9 F 24 40 56 72 a. Construct a linear model for the data. b. In this example, the magnification M is 80. In general, F is proportional to Fe, and the constant of proportionality is M. Use this relation to write a formula for F in terms of Fe and M. c. Solve the equation you obtained in part b for M and thus obtain a formula for magnification as a function of objective lens focal length and eyepiece focal length. d. To achieve a large magnification, how should the objective and eyepiece lenses be selected? FIGURE 3.42
Average Rate of change A fucntion f is given. (a) Find the average rate of change of f between x=0 and x=0 , and the average rate of change of f between x=15 and x=50 .(b) Were the two average rates of change that you found in part (a) the same? (c) Is the function linear? If so, what is its rate of change? f(x)=83x
In 1995, the rate of violent crimes in New York City continued to decrease, but at a slower rate than in previous years. Letting ƒ(t) be the rate of violent crime as a function of time, what does this tell you about ƒ(t), ƒ′(t), and ƒ″(t)? Source: The New York Times.

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Some values of a function and its 3-unit moving average are given. Supply the missing information. X r(x) r(x) 0 6 1 4 8 2 6 15 3 9 9 4 4 62 5 9 X 23 6 3 X 22 7 1 X