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Chapter 1: Problem 71
Write the standard form of the equation of the circle with the given characteristics. Center: (2,-1)\(;\) Radius: 4
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Use the given value of \(k\) to complete the table for the inverse variation model $$y=\frac{k}{x^{2}}$$ Plot the points on a rectangular coordinate system. $$\begin{array}{|l|l|l|l|l|l|} \hline x & 2 & 4 & 6 & 8 & 10 \\ \hline y=\frac{k}{x^{2}} & & & & & \\ \hline \end{array}$$ $$ k=5 $$
(a) find the inverse function of \(f\), (b) graph both \(f\) and \(f^{-1}\) on the same set of coordinate axes, (c) describe the relationship between the graphs of \(f\) and \(f^{-1}\), and (d) state the domain and range of \(f\) and \(f^{-1}\). $$ f(x)=\frac{4}{x} $$
Determine whether the function has an inverse function. If it does, find the inverse function. $$ g(x)=\frac{x}{8} $$
Find a mathematical model for the verbal statement. A varies directly as the square of \(r\).
An \(r\) -value of a set of data, also called a _____ _____ ,gives a measure of how well a model fits a set of data.
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