(Graphing program optional.) A function is said to be even

Chapter 9, Problem 9.1.7

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(Graphing program optional.) A function is said to be even if (x) (x) and odd if (x) (x) for all x in s domain. Use these definitions to: a. Show that the even integer power functions are even. b. Show that the odd integer power functions are odd. c. Show whether each of the following functions is even, odd, or neither. i. (x) 5 x 4 1 x 2 iii. ii. u(x) 5 x 5 1 x 3 iv. g(x) 5 10.3x d. For each function that you have identified as even or odd, what would you predict about the symmetry of its graph? If possible, check your predictions with a function graphing program. 8.

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