Test this function for symmetry: f(x) = x^4 + x^² + 3
Follow Math Help Forum on Facebook and Google+
Originally Posted by symmetry Test this function for symmetry: f(x) = x^4 + x^² + 3 The function has symmetty in the y-axis. Because, $\displaystyle f(-x)=(-x)^4+(-x)^2+3=x^4+x^2+3=f(x)$
So, basically we change x to -x, plug and chug?
Originally Posted by symmetry So, basically we change x to -x, plug and chug? Yup. A function is called "even" if f(-x) = f(x). It is called "odd" if f(-x) = -f(x). Note that a function may be neither even nor odd. -Dan
Originally Posted by symmetry So, basically we change x to -x, plug and chug? No we think about what odd or even symmetry mean, then see if the sample function has the property required. Plug and chug implies just following rules. But that means you have to remember a rule for each situation, which is a waste of valuable memory. RonL
View Tag Cloud