By Ron Larson
Perfect for classes that require using a graphing calculator, PRECALCULUS: genuine arithmetic, genuine humans, sixth variation, gains caliber workouts, attention-grabbing purposes, and cutting edge assets that will help you be successful. holding the book's emphasis on scholar help, chosen examples comprise notations directing scholars to past sections the place they could evaluate suggestions and abilities had to grasp the fabric to hand. The publication additionally achieves accessibility via cautious writing and design--including examples with particular recommendations that commence and finish at the similar web page, which maximizes clarity. equally, side-by-side recommendations exhibit algebraic, graphical, and numerical representations of the math and help a number of studying types. Reflecting its new subtitle, this important revision focuses greater than ever on exhibiting readers the relevance of arithmetic of their lives and destiny careers.
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Extra resources for Precalculus: Real Mathematics, Real People
A function whose graph is symmetric with respect to the origin is an odd function. A graph that is symmetric with respect to the x-axis is not the graph of a function ͑except for the graph of y ϭ 0͒. 30. y y y (x , y ) (−x, y) Graph each function with a graphing utility. Determine whether the function is even, odd, or neither. 30 (x, −y) Symmetric to origin Odd function Symmetric to x-axis Not a function p͑x͒ ϭ x9 ϩ 3x5 Ϫ x3 ϩ x What do you notice about the equations of functions that are (a) odd and (b) even?
B) Use the result of part (a) to complete the table. Ϫ10Њ C F 0Њ 10Њ 177Њ 68Њ 90Њ 95. Business A contractor purchases a bulldozer for $36,500. 50 per hour. (a) Write a linear equation giving the total cost C of operating the bulldozer for t hours. ) (b) Assuming that customers are charged $65 per hour of bulldozer use, write an equation for the revenue R derived from t hours of use. (c) Use the profit formula ͑P ϭ R Ϫ C͒ to write an equation for the profit gained from t hours of use. (d) Use the result of part (c) to find the break-even point (the number of hours the bulldozer must be used to gain a profit of 0 dollars).
To sketch the graph of a piecewise-defined function, you need to sketch the graph of each equation on the appropriate portion of the domain. Example 8 Sketching a Piecewise-Defined Function Sketch the graph of f ͑x͒ ϭ ΆϪx2x ϩϩ 4,3, You use a graphing utility to graph f ͑x͒ ϭ Ά x2 ϩ 1, 4 Ϫ x, x Յ 0 x > 0 by letting y1 ϭ x2 ϩ 1 and y2 ϭ 4 Ϫ x, as shown in the figure. You conclude that this is the graph of f. What’s wrong? x Յ 1 x > 1 7 by hand. Solution −6 This piecewise-defined function is composed of two linear functions.