# Thread: Even & Odd functions

1. ## Even & Odd functions

I have 2 problems that i think are probably solved the same way...

Given that the point ${\left(-{7},-{8}\right)}$ is on a graph of the function ${f}$ and that ${f}$ is an odd function, find another point on the graph of ${f}$.

&

Given that the point ${\left(-{4},-{9}\right)}$ is on a point on the graph of the function ${f}$ and ${f}$ is an even function, find another point on the graph of ${f}$.

Now i know${f}$(x)=${f}$(x) means it's even and ${f}$(x)=-${f}$(x) means it's odd.. but how do i come up with the function to input the (x,y) values?

${f}$(x)=x^3......
-8=-7^3......
then re-arrange and solve for .......?

Thanks

2. Originally Posted by xsavethesporksx
I have 2 problems that i think are probably solved the same way...

Given that the point ${\left(-{7},-{8}\right)}$ is on a graph of the function ${f}$ and that ${f}$ is an odd function, find another point on the graph of ${f}$.

&

Given that the point ${\left(-{4},-{9}\right)}$ is on a point on the graph of the function ${f}$ and ${f}$ is an even function, find another point on the graph of ${f}$.

Now i know${f}$(x)=${f}$(x) means it's even and ${f}$(x)=-${f}$(x) means it's odd.. but how do i come up with the function to input the (x,y) values?

${f}$(x)=x^3......
-8=-7^3......
then re-arrange and solve for .......?

Thanks
you are given $f(-7) = -8$

for an odd function ... $f(-x) = -f(x)$

$f(-7) = -f(7)$

$-8 = -f(7)$

$f(7) = 8$ ... your other point.

for an even function ... $f(-x) = f(x)$

now work with your given point.

3. so i had most the information that i needed i just didn't put all the pieces together.

Thanks!