Chapter 2: Q. 18 (page 113)
In Problems 7–18, match each graph to one of the following functions:
Short Answer
The given graph is matched to the function
Chapter 2: Q. 18 (page 113)
In Problems 7–18, match each graph to one of the following functions:
The given graph is matched to the function
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Get started for freeSolve the inequality: . Graph the solution set.
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.
A wire meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, and the other piece will be shaped as a circle.
Part (a): Express the total area Aenclosed by the pieces of wire as a function of the length x of a side of the equilateral triangle.
Part (b): What is the domain of A?
Part (c): Graph . For what value of xis Asmallest?
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.
A rectangle is inscribed in a circle of radius of . See the figure. Let be the point in quadrant I that is a vertex of the rectangle and is on the circle.
Part (a): Express the area Aof 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 ofxis p largest?
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