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Exercise 1 : Draw a graph that does not correspond to a function

PLZZZ HELP!!!!!!

Dbg4thebest  Aug 10, 2015

Best Answer 

 #1
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+10

This graph doesn't represent a function.

jdh3010  Aug 10, 2015
 #1
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+10
Best Answer

This graph doesn't represent a function.

jdh3010  Aug 10, 2015
 #2
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Hi Dbg,  

 

Jdh3010's graph is NOT a function because it does not pass the vertical line test.

When you draw any vertical line through a function it can cross the fuction in AT MOST one place.  

This graph would often have two crossing points :)

 

This means that some x values have more than one y value.      

If a graph or an equation is a function it means that no x value can have more than one y value.  

Melody  Aug 10, 2015
 #3
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COOL! Why is it important to know this?

What does it mean mathematically?

Guest Aug 11, 2015
 #4
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Well off the top of my head I will say that only a function can be differentiated. So it is very important for calculus. AND calculus is an immensely important branch of mathematics.

Melody  Aug 11, 2015
 #5
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+5

I don't want to disagree with Melody here, but the graph in the first answer is something like x = y^2 - 5....and this can definitely be differentiated as   1 = 2yy' →  y' = 1/2y ....the derivative doesn't exist for y = 0.....it is positive for y > 0  and negative for y < 0

 

Modeling real-life situations by the use of functions is a very important tool in mathematics......here....we have "function" of y rather than a function of x.......this is not common...but it can occur.....

 

 

  

CPhill  Aug 11, 2015
 #6
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0

Thanks Chris, of course Chris is correct :)

The derivative cannot be expressed as a function of x but it can certainly be expressed as a function of y.

 

Ok so why is such a bid deal made of functions verses non function ?

Melody  Aug 12, 2015

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