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Chapter 7: Problem 41
Evaluate each function at the given value of the variable. \(h(r)=3 r^{2}+5\) a. \(h(4)\) b. \(h(-1)\)
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a. Create a scatter plot for the data in each table. b. Use the shape of the scatter plot to determine if the data are best modeled by a linear function, an exponential function, a logarithmic function, or a quadratic function. $$ \begin{array}{|c|c|} \hline \boldsymbol{x} & \boldsymbol{y} \\ \hline 0 & -3 \\ \hline 1 & -2 \\ \hline 2 & 0 \\ \hline 3 & 4 \\ \hline 4 & 12 \\ \hline \end{array} $$
Make Sense? In Exercises 47-50, determine whether each statement makes sense or does not make sense, and explain your reasoning. I'm looking at data that show the number of new college programs in green studies, and a linear function appears to be a better choice than an exponential function for modeling the number of new college programs from 2005 through \(2009 .\)
Graph each linear inequality. \(2 y-x>4\)
The data can be modeled by $$ f(x)=782 x+6564 \text { and } g(x)=6875 e^{0.077 x} \text {, } $$ in which \(f(x)\) and \(g(x)\) represent the average cost of a family health insurance plan \(x\) years after 2000. Use these functions to solve Exercises 33-34. Where necessary, round answers to the nearest whole dollar. a. According to the linear model, what was the average cost of a family health insurance plan in 2011? b. According to the exponential model, what was the average cost of a family health insurance plan in 2011 ? c. Which function is a better model for the data in 2011 ?
Use a table of coordinates to graph each exponential function. Begin by selecting \(-2,-1,0,1\), and 2 for \(x\). \(f(x)=5^{x}\)
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