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Chapter 7: Problem 40
Evaluate each function at the given value of the variable. \(g(x)=-x^{2}+1\) a. \(g(5)\) b. \(g(-4)\)
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Use a table of coordinates to graph each exponential function. Begin by
selecting \(-2,-1,0,1\), and 2 for \(x\). Based on your graph, describe the shape
of a scatter plot that can be modeled by \(f(x)=b^{x}, 0
Graph the solution set of each system of inequalities. \(\left\\{\begin{array}{l}x-y \leq 1 \\ x \geq 2\end{array}\right.\)
Each group member should consult an almanac, newspaper, magazine, or the Internet to find data that can be modeled by linear, exponential, logarithmic, or quadratic functions. Group members should select the two sets of data that are most interesting and relevant. Then consult a person who is familiar with graphing calculators to show you how to obtain a function that best fits each set of data. Once you have these functions, each group member should make one prediction based on one of the models, and then discuss a consequence of this prediction. What factors might change the accuracy of the prediction?
In Exercises 9-14, a. Determine if the parabola whose equation is given opens upward or downward. b. Find the vertex. c. Find the \(x\)-intercepts. d. Find the \(y\)-intercept. e. Use (a)-(d) to graph the quadratic function. \(y=x^{2}+8 x+7\)
Without graphing, in Exercises 64-67, determine if each system has no solution or infinitely many solutions. \(\left\\{\begin{array}{l}3 x+y<9 \\ 3 x+y>9\end{array}\right.\)
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