Question

In my homework I am suppose to sketch a function that is even and has two maximums. How would I do this?

Answer 1

So, can you tell me what it means for something to be an even function?

Answer 2

I am not sure... I am guessing like a cosine, sine, tangent, exponetial, logarithmic that type of thing

Answer 3

Are you Jess H. from study Pool??
I think you helped me earlier on that website?

Answer 4

ok, so first you gotta know what an even function is, check this out

lol yea

Answer 5

Yay!!! I am glad its you! I ran out of free questions and was stressing!

Answer 6

yea, The only reason I joined studypool was for easy money(which I tend to do for free on this site, it definitely has a better interface)

Answer 7

so anyways, here is that link I wanted to give you: http://www.purplemath.com/modules/fcnnot3.htm

Answer 8

read through it for a nice explanation, then we can create the function you need

Answer 9

Ok i read through it but since I do not have an equation I am not sure where to start.

Answer 10

well, give me an example of an even function

Answer 11

And I am not sure if I am thinking correctly but if i graph Cosine isn't that a even function with two maximums? Or am I wrong?

Answer 12

My notes say they are parent functions??

Answer 13

well there are infinite maximums, you'd have to make it piecewise or restrict the domain

Answer 14

Oh and it has to pass the vertical line test

Answer 15

cosine is even. but it has an infinite number of maxima
all 1

Answer 16

well, any function will

Answer 17

make a nice camel with two humps
that would do

Answer 18

so anyways, you now get to make up some graph like what sat. said^

Answer 19

oh ok! Thank you!

Answer 20

then once you make up the graph you'll need the function to prove it is even

Answer 21

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