Determine if the function is one-to-one.
A. yes
B. no
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OpenStudy (kellyspeakslouder):
OpenStudy (kellyspeakslouder):
@mathstudent55
OpenStudy (kellyspeakslouder):
@zzr0ck3r
OpenStudy (zzr0ck3r):
If you can draw vertical line through any part of the graph and it hits the graph more than once, then it is NOT one-to-one. Otherwise it is.
OpenStudy (zzr0ck3r):
Can you draw such a line here?
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OpenStudy (kellyspeakslouder):
no?
OpenStudy (zzr0ck3r):
correct
OpenStudy (zzr0ck3r):
so it IS one-to-one
OpenStudy (zzr0ck3r):
This "test" will always work. It is called the vertical line test.
OpenStudy (zzr0ck3r):
errrrrrr
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OpenStudy (zzr0ck3r):
sorry I mean horizontal
OpenStudy (kellyspeakslouder):
so the answer is yes?
OpenStudy (zzr0ck3r):
replace everytime I said vertical with horizontal
OpenStudy (zzr0ck3r):
Since there is not horizontal line that passes through the graph more than once, it IS one-to-one
OpenStudy (zzr0ck3r):
Sorry, late night....
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OpenStudy (kellyspeakslouder):
its okay, so the answer is A?
OpenStudy (zzr0ck3r):
If you understood me you would not need to ask that question. Can you draw a horizontal line through the graph that touches more than once?
If your answer is NO then it IS one-to-one.
OpenStudy (zzr0ck3r):
Look at the horizontal grid lines (left and right) do any of them pass through the line twice?
OpenStudy (kellyspeakslouder):
no so its A
OpenStudy (zzr0ck3r):
Correct
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OpenStudy (zzr0ck3r):
Sorry, I just want to make sure you understand, this concept is a little weird because you CANT draw a horizontal line means it IS one-to-one. But once you learn to use this property, you get some easy points on the test.