In Exercises 37-48, determine whether each function is even, odd, or neither. Then determine whether the function's graph is symmetric with respect to the y-axis, the origin, or neither. 37. f(x) = x³ + x 38. f(x) = x³ – x 39. g(x) = x? + x 40. g(x) = x² – x %3D %3D 41. h(x) = x² - x 42. h(x) = 2x² + x* %3D %3D 43. f(x) = x - x + 1 44. f(x) = 2x? + x* + 1 %3D 45. f(x) = fx* – 3r? 46. f(x) = 2r³ – 6x° 47. f(x) = xV1 -? 48. f(x) = x²V1 – x²
In Exercises 37-48, determine whether each function is even, odd, or neither. Then determine whether the function's graph is symmetric with respect to the y-axis, the origin, or neither. 37. f(x) = x³ + x 38. f(x) = x³ – x 39. g(x) = x? + x 40. g(x) = x² – x %3D %3D 41. h(x) = x² - x 42. h(x) = 2x² + x* %3D %3D 43. f(x) = x - x + 1 44. f(x) = 2x? + x* + 1 %3D 45. f(x) = fx* – 3r? 46. f(x) = 2r³ – 6x° 47. f(x) = xV1 -? 48. f(x) = x²V1 – x²
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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