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Mathematics 18 Online
OpenStudy (sunshinehaggard):

f(x) = 2x3 + is an odd function. f(x) = − 4 is an even function.

OpenStudy (sunshinehaggard):

@kayders1997

rebeccaxhawaii (rebeccaxhawaii):

whats your question?

OpenStudy (sunshinehaggard):

thats my question i have choices for each

OpenStudy (sunshinehaggard):

first choices are 5x^2 ,2x second choices for the second question is -5x^3 ,3x^2 ,4x

OpenStudy (kayders1997):

If you have an odd exponent you will have an odd function if you have an even degree exponent than you will have an even degree function, odd degree functions have different end behavior even degree functions have same degree behavior

OpenStudy (sunshinehaggard):

im confused

OpenStudy (kayders1997):

What are you confused about?

OpenStudy (sunshinehaggard):

i dont understand how to do this

OpenStudy (kayders1997):

You have to figure out what you can add to the problem I think, or choose the part that is odd or even function? Maybe? This is a kinda confusing question

OpenStudy (kayders1997):

If it is saying what is an odd fuction you are looking for an answer with an odd degree do you know what the degree is?

OpenStudy (kayders1997):

Is the question online?

OpenStudy (sunshinehaggard):

its on a pre cal thing i have for school

OpenStudy (kayders1997):

Is there any way you can share the question?

OpenStudy (sunshinehaggard):

no i dont think so

OpenStudy (kayders1997):

Okay, I don't usually give answers but since this is confusing are you okay with me telling you what I think they want for the answer?

OpenStudy (kayders1997):

Than ill explain

OpenStudy (sunshinehaggard):

yes

OpenStudy (kayders1997):

First one 2x Second 3x^2

OpenStudy (kayders1997):

1) I put this there because It has a degree exponent of 1 which is an odd degree, does that make sense?

OpenStudy (sunshinehaggard):

yes

OpenStudy (kayders1997):

2) Same concept I looked at 3x^2 the degree was 2 which is an even degree which means its ab even function

OpenStudy (sunshinehaggard):

i have another question

OpenStudy (kayders1997):

So you can always look at the degree or the exponent if its odd its going to be a odd function if it is even its an even function

OpenStudy (sunshinehaggard):

the function y=sinx/x even or odd and is y=cosx/x even or odd

OpenStudy (kayders1997):

Let me get my calculator

OpenStudy (kayders1997):

Okay an even function has same end behavior so the function will look the same at its endpoints so like x^2 both endpoints are going up in the same direction in sin(x)/x the endpoints are about the same and they are going the same way so its even, does the make sense?

OpenStudy (sunshinehaggard):

yes

OpenStudy (kayders1997):

And now if you type in the other function do you get same endpoint behavior?

OpenStudy (kayders1997):

Or you can think does the graph look the same if you fold the y axis

OpenStudy (kayders1997):

On both sides

OpenStudy (kayders1997):

@sunshinehaggard

jhonyy9 (jhonyy9):

f(x)= - 4 is without x ?

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