Graph the functions in Exercises 37–46. What symmetries, if any, do the graphs have? Specify the intervals over which the function is increasing and the intervals where it is decreasing.  37. y = -x3        38. y=-1/x^2 39. y = - 1 /x   40. y=1/|x|  41. y = sqrt(|x|)     42. y = sqrt(-x) 43. y = x3/8          44. y = -4sqrt(x) 45. y = -x^(3/2)      46. y = (-x)^(2/3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 59E
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Graph the functions in Exercises 37–46. What symmetries, if any, do the graphs have? Specify the intervals over which the function is increasing and the intervals where it is decreasing. 

37. y = -x3        38. y=-1/x^2

39. y = - 1 /x   40. y=1/|x| 

41. y = sqrt(|x|)     42. y = sqrt(-x)

43. y = x3/8          44. y = -4sqrt(x)

45. y = -x^(3/2)      46. y = (-x)^(2/3)

 

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