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Chapter 2: Q. 98 (page 116)
Explain how the domain of compares to
The domain of $y=g(x)=\sqrt{x}$ ranges from 0 to $\infty$
where as the domain of $y=g(x-k) ; k \geq 0$ ranges from $k$ to $\infty$
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Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.
In Problems 33鈥� 44, determine algebraically whether each function is even, odd, or neither.
True or False
The graph of is the reflection about the -axis of the graph of .
In March , Peoples Energy had the following rate schedule for natural gas usage in single- family residences:
Monthly service charge-
Per therm service charge
therms-
Over therms-
Gas charge-
(a) What is the charge for using therms in a month?
(b) What is the charge for using therms in a month?
(c) Develop a model that relates the monthly charge for therms of gas.
(d) Graph the function found in part (c)
A rectangle is inscribed in a semicircle of radius . See the figure. Let be the point in quadrant I that is vertex of the rectangle and is on the circle.
Part (a): Express the area A of the rectangle as a function of x.
Part (b): Express the perimeter pof the rectangle as a function of x.
Part (c): Graph . For what value of xis Alargest?
Part (d): Graph . For what value of xis plargest?
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