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OpenStudy (anonymous):
Is the following relation a function?
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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
If each x corresponds to exactly one y value, then it's a function
jimthompson5910 (jim_thompson5910):
You can use the vertical line test to visually determine the answer.
OpenStudy (anonymous):
What's the vertical line test?
OpenStudy (anonymous):
you get a pencil and trace it across the entire thing, if no two points are 'touching' the pencil, then its a function
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jimthompson5910 (jim_thompson5910):
and you keep the pencil vertical throughout the whole test (pass it over the graph from left to right)
OpenStudy (anonymous):
Okay, so that picture is a function?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
notice how there are no C curves its just one wavy line, no flip backs or straight up parts.
OpenStudy (anonymous):
So if I do the pencil across the thing and two points touch the line I draw then it's a function?
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jimthompson5910 (jim_thompson5910):
if two points touch the vertical line, then it's NOT a function
OpenStudy (anonymous):
no if it ouches its not if your doing it and thre is a backwards or forwards C shape then its a non function
OpenStudy (anonymous):
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