How would I go about doing that?
Let's say f(x) = 17x^322 for example....
Hello,
To say so, find $\displaystyle f(-x)$
Here, $\displaystyle f(-x)=17*(-x)^{322}=17*((-1)*x)^{322}$
Using this rule : $\displaystyle (ab)^c=a^c b^c$, we get
$\displaystyle f(-x)=17*x^{322}*(-1)^{322}=f(x)*(-1)^{322}$
Using the rule of exponents : $\displaystyle a^{bc}=(a^b)^c$, we can say that $\displaystyle (-1)^{322}=[(-1)^2]^{161}=1^{161}=1$
Thus $\displaystyle f(-x)=f(x)$
Got it ?