cutiecomittee123
  • cutiecomittee123
Which equation defines a function? a. x= |y| b. y=[[x]] c. x=1/8y^2 d. x^2+y^2=49
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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ybarrap
  • ybarrap
Remember that a function can have ONE value for every y value. Do the vertical line test. Graph the equation and if more than ONE point goes through any part of the graph, it is NOT a function. Try this vertical line test on this function (your last one): http://www.wolframalpha.com/input/?i=x%5E2%2By%5E2%3D49
cutiecomittee123
  • cutiecomittee123
So the last one doesn't work since it is a circle.
cutiecomittee123
  • cutiecomittee123
a is just a line c is a parabola

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ybarrap
  • ybarrap
|dw:1433718060468:dw|
ybarrap
  • ybarrap
Does a) and b) pass the vertical line test?
cutiecomittee123
  • cutiecomittee123
b passes. a on the other hand could?
ybarrap
  • ybarrap
Could or does? |dw:1433718220009:dw|
cutiecomittee123
  • cutiecomittee123
So then b is a function right??
cutiecomittee123
  • cutiecomittee123
a doesnt pass
ybarrap
  • ybarrap
Correct on last two! |dw:1433718284617:dw|
cutiecomittee123
  • cutiecomittee123
So y=[[x]] defines a function
ybarrap
  • ybarrap
Check it! What's the equation look like?
cutiecomittee123
  • cutiecomittee123
http://www.wolframalpha.com/input/?i=y%3D%5B%5Bx%5D%5D
cutiecomittee123
  • cutiecomittee123
a line
ybarrap
  • ybarrap
What does [[x]] mean?
cutiecomittee123
  • cutiecomittee123
Not too sure?
ybarrap
  • ybarrap
me neither, lol
ybarrap
  • ybarrap
I think it may mean take the integer part. Checking now
cutiecomittee123
  • cutiecomittee123
Okay
cutiecomittee123
  • cutiecomittee123
Hey well I have another question so I've got to go:)
ybarrap
  • ybarrap
ok
ybarrap
  • ybarrap
This is the closet -- http://planetmath.org/integerpart In this case, it passes the vertical line test
ybarrap
  • ybarrap
What about c)?
cutiecomittee123
  • cutiecomittee123
c is a parabola and can be a function but I dont know
cutiecomittee123
  • cutiecomittee123
I think b was just a better representation
ybarrap
  • ybarrap
|dw:1433722831537:dw|

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