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

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

PLZZZ HELP!!!!!!

Aug 10, 2015

#1
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This graph doesn't represent a function.

Aug 10, 2015

#1
+299
+10

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.

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

What does it mean mathematically?

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.

Aug 11, 2015
#5
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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.....

Aug 11, 2015
#6
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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 ?

Aug 12, 2015