Chapter 2: Q. 9 (page 68)
If and , then____________ =.
Short Answer
If and , then =
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Chapter 2: Q. 9 (page 68)
If and , then____________ =.
If and , then =
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A right triangle has one vertex on the graph of , at , another at the origin, and the third on the positive x-axis at . Express the area Aof the triangle as a function of x.
In Problems 7–18, match each graph to one of the following functions:

A wire meters long is to be cut into two pieces. One piece will be shaped as a square, and the other piece will be shaped as a circle. See the figure.
Part (a): Express the total area Aenclosed by the pieces of wire as a function of the length x of a side of the square.
Part (b): What is the domain of A?
Part (c): Graph . For what value of xis Asmallest?
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.
Find the following for each function:
Part (a):
Part (b):
Part (c):
Part (d):
Part (e):
Part (f):
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