Inverse of a function-interpretation

vio

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Joined
Feb 22, 2006
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Hello!

I have the following function:
x represents the day of the year-100, 200, 300;total should be 365
y axis represents the daylight hours-5, 10, 15;maximum is 15 hours
I have to draw the inverse and explain what the inverse represents

The interpretation of the inverse function does not make sense to me.

pairs of x,y: (0,8), (50,9), (100,11), (160,14), (180,15), (230,14)
0 represents day 0 of the year and 8 represents 8 hours of daylight

The invers function
pairs of y,x: (8,0), (9,50), (11,100), (14,160), (15,180), (14,230)
The interpretation
Day 8 of the year has 0 hours of daylight; day 9 of the year has 50 hours of daylight; 11th day of the year has 100 hours daylight
OR
11 hours of daylight corresponds to the 100 day of the year
Which is the correct explanation?
 
Since the original relation takes the number of the day of the year and returns the length of the daylit portion of that day, and since the inverse relation will reverse that input-output pairing, what will be the new (inverse) "input" and the new (inverse) "output"?

Eliz.
 
The second. X is hours of daylight, y is day of the year in (x,y) but it is not a function because x=14 has two answers.
 
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