The equation abs(y/a)^n + abs(x/a)^n = 1, where n and a are positive real numbers.  Make a complete graph of this function a = 1 for n = 2/3, 1, 2, 3.  Describe the progression that you observe as n increases.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 83E
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The equation abs(y/a)^n + abs(x/a)^n = 1, where n and a are positive real numbers.  Make a complete graph of this function a = 1 for n = 2/3, 1, 2, 3.  Describe the progression that you observe as n increases.

Expert Solution
Step 1

The equation abs(y/a)^n + abs(x/a)^n = 1,

= 1
|a|
|a|
Step 2

Substitute a=1 in above equation .

= 1
| 1|
(1).
y + \x\" = 1..
Step 3

Substitute different value of n in equation 1 .

+=1
2
n ==
3
n= 2
bf +kf =1 . 4)
1
1
n = 1
vf+=1(5)
yf+ =1 .(3)
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