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 Pre-Calculus and Calculus
 ODD and EVEN fuctions
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xb4ndages
Junior Member

USA
4 Posts

Posted - 10/14/2007 :  13:57:27  Show Profile
I know what an ODD and EVEN function are, but I can't seem to figure out a problem on my study guide for my math exam.

question: If f is ODD and f(-4) = 3 and f(-7) = -30 name for points on the graph of f.

question 2: do question 1 again, replacing ODD with "EVEN"

if anyone could help me figure out these questions, that'd be really great. thanks!
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pka
Advanced Member

USA
2731 Posts

Posted - 10/14/2007 :  14:48:18  Show Profile
quote:
Originally posted by xb4ndages
question: If f is ODD and f(-4) = 3 and f(-7) = -30 name for points on the graph of f.

question 2: do question 1 again, replacing ODD with "EVEN"

First it should be find FOUR points on the graph.
ODD: f(x)=-f(-x). Do f(4)=-3 and f(7)=30. Four points: (-4,3), (4,-3), (-7,-30), & (7,30).

You do the even case.
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skeeter
Advanced Member

USA
5634 Posts

Posted - 10/14/2007 :  14:53:43  Show Profile
quote:
Originally posted by xb4ndages

I know what an ODD and EVEN function are ...
If you cannot answer the question below, then you do not know what odd and even functions are. What are the algebraic definitions of functions that are ODD or EVEN?

but I can't seem to figure out a problem on my study guide for my math exam.

question: If f is ODD and f(-4) = 3 and f(-7) = -30 name for (is this supposed to be the number four?) points on the graph of f.

question 2: do question 1 again, replacing ODD with "EVEN"


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xb4ndages
Junior Member

USA
4 Posts

Posted - 10/14/2007 :  16:12:55  Show Profile
quote:
Originally posted by skeeter

quote:

If you cannot answer the question below, then you do not know what odd and even functions are. What are the algebraic definitions of functions that are ODD or EVEN?





ODD function:
f(-x) = -f(x)
symmetric w/ respect to the Origin

example: x + 2x + 5

Even Function:
f(-x) = f(x)
symmetric w/ respect to the y-axis

example: x + 5x + 1


so yeah, i do know what odd and even functions are...do you want to know their end behaviors too?...and sorry about the couple of spelling errors, i was in a rush and probably getting sleepy at the time I posted.

Edited by - xb4ndages on 10/14/2007 16:16:17
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pka
Advanced Member

USA
2731 Posts

Posted - 10/14/2007 :  16:26:56  Show Profile
quote:
ODD function:
f(-x) = -f(x)
symmetric w/ respect to the Origin
example: x + 2x + 5

Even Function:
f(-x) = f(x)
symmetric w/ respect to the y-axis
example: x + 5x + 1

so yeah, i do know what odd and even functions are
Apparently you may know the definitions of odd and even functions, but you have not the foggiest notion how to apply them. Neither example that you gave is odd nor even

Edited by - pka on 10/14/2007 16:28:27
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jfg4707
Average Member

USA
19 Posts

Posted - 10/14/2007 :  19:40:09  Show Profile


If a function is odd, then f(-x) = -f(x); for example, f(x) = x: f(-3) = -f(3) = -27. If a function is even, then f(-x) = f(x); for example, g(x) = x: g(-2) = g(2) = 4.

If the function is odd with points (-4,3) and (-7,-30) on its graph, the points (4,-3) and (7,30) will also be on its graph.

If the function is even with points (-4,3) and (-7,-30) on its graph, then (4,3) and (7,30) will also be on its graph
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