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xb4ndages
Junior Member

USA
4 Posts

 Posted - 10/14/2007 :  13:57:27 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!

pka

USA
2731 Posts

 Posted - 10/14/2007 :  14:48:18 quote:Originally posted by xb4ndagesquestion: 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.

skeeter

USA
5634 Posts

 Posted - 10/14/2007 :  14:53:43 quote:Originally posted by xb4ndagesI 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"

xb4ndages
Junior Member

USA
4 Posts

 Posted - 10/14/2007 :  16:12:55 quote:Originally posted by skeeterquote: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 Originexample: x + 2x + 5Even Function:f(-x) = f(x)symmetric w/ respect to the y-axisexample: x + 5x + 1so 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

pka

USA
2731 Posts

 Posted - 10/14/2007 :  16:26:56 quote:ODD function:f(-x) = -f(x)symmetric w/ respect to the Originexample: x + 2x + 5Even Function:f(-x) = f(x)symmetric w/ respect to the y-axisexample: x + 5x + 1so yeah, i do know what odd and even functions areApparently 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

jfg4707
Average Member

USA
19 Posts

 Posted - 10/14/2007 :  19:40:09 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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