which relation is not a function?
1) y=2x+4
2) y=x^2-4x+3
3) x=3y-2
4) x= y^2+2x-3
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OpenStudy (skullpatrol):
Any ideas?
OpenStudy (anonymous):
its neither 1 or 3
i m stuck between 2 and 4
OpenStudy (anonymous):
lol
OpenStudy (skullpatrol):
In math we start with definitions, right?
OpenStudy (skullpatrol):
What is the definition of a function?
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OpenStudy (anonymous):
for every x there is only 1 y
OpenStudy (skullpatrol):
Yes...
OpenStudy (skullpatrol):
look at the form of the equations given
OpenStudy (skullpatrol):
for your idea to work they should be written how?
OpenStudy (skullpatrol):
think about it
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OpenStudy (skullpatrol):
1) y=2x+4
2) y=x^2-4x+3
3) x=3y-2
4) x= y^2+2x-3
OpenStudy (skullpatrol):
You said "for every x there is only 1 y"
OpenStudy (anonymous):
yea
OpenStudy (skullpatrol):
so that means what?
OpenStudy (anonymous):
should i inverse choice 3 and 4 or something
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OpenStudy (anonymous):
i believe 4) is not a function
OpenStudy (skullpatrol):
good you are getting the idea,,,choice 3 is OK because you can easily write as y = ... right?
OpenStudy (anonymous):
yes
OpenStudy (skullpatrol):
@amrita000 come on you can do it on your own
OpenStudy (skullpatrol):
try
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OpenStudy (anonymous):
4) is not a function
OpenStudy (nincompoop):
how s square root not a function?
OpenStudy (anonymous):
x= y^2+2x-3, y^2=-x+3, y=sqrt(-x+3), if x is bigger than 3 then it is an imaginary function
OpenStudy (anonymous):
This is not true @AmardeepSingh
OpenStudy (anonymous):
its |y|=sqrt(3-x) and that's the difference (the absoute value)
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OpenStudy (skullpatrol):
The question should read which relation is not a function of x @amrita000
OpenStudy (skullpatrol):
$$\Huge y=f(x)$$
OpenStudy (anonymous):
alright thanks .. i got it... its choice 4
OpenStudy (skullpatrol):
Good work :-)
OpenStudy (anonymous):
Thanks everybodyy!!! ^_^
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OpenStudy (nincompoop):
knowing the graph of the functions would help a great deal, because a function passes the vertical line test
OpenStudy (anonymous):
@nincompoop +1 But it also takes more time!
OpenStudy (nincompoop):
disagree, it is the easiest
OpenStudy (skullpatrol):
@amrita000 remember the definition
OpenStudy (skullpatrol):
$$\Huge y=f(x)$$
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OpenStudy (anonymous):
okiee :D
OpenStudy (skullpatrol):
one x goes in and one y comes out
OpenStudy (anonymous):
@nincompoop so she has trouble finding which of the expressions is not a function and she would be able to graph the last expression?
If she was able to graph it, she wouldn't need help to recognize it wasnt a function in my opinion
OpenStudy (anonymous):
Anyway good job!
OpenStudy (skullpatrol):
Graphs are great once the student understands the logical links the definition has to the graph.
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