McGraw-Hill's 500 College Algebra and Trigonometry Questions by Philip Schmidt

Author:Philip Schmidt
Language: eng
Format: epub
Tags: -
Publisher: McGraw Hill LLC
Published: 2013-03-23T00:00:00+00:00

Figure A3.4

116. See Figure A3.5. Notice that since f (−x) = x2 = f(x), this function’s graph is symmetric about the y axis. Also f(x) ≥ 0 for all x. This graph is a parabola. See Chapter 10 for more about the conic sections in general.

Figure A3.5

117. See Figure A3.6. This function is symmetric about the origin, since y = x3 and −y = (−x)3.

Figure A3.6

118. Figure A3.7 exhibits none of the three symmetries. Notice that f(x) ≥ 0 for all x and that x + 2 ≥ 0 or x ≥ −2. No part of the graph can exist in the shaded areas. Notice that the graph is one-half of a parabola. The “negative branch” is “missing” because of the square root.

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