OpenStudy (anonymous):

Give an example of an odd function and explain algebraically why it is odd

6 years ago
OpenStudy (anonymous):

\[f(x)=x ^{3}\] by definition, function is odd if f(-x)=-f(x) so check for the function i geave you as example: \[f(-x)=-x ^{3}=-f(x)\]

6 years ago
OpenStudy (anonymous):

i don't really understand

6 years ago
OpenStudy (anonymous):

|dw:1341346480409:dw| like you can see it's symetric respect to origin. This another "symptom" of odd function

6 years ago
OpenStudy (ash2326):

A function f(x) is said to be odd if \[f(-x)=-f(x)\] or \[f(x)+f(-x)=0\] suppose we have \(f(x)=x^3\) and so \(f(-x)=(-x)^3=-x^3\) now let' see what's \(f(x)+f(-x)\) \[f(x)+f(-x)=x^3+(-x^3)=0\] Hence f(x)= x^3 is an odd function

6 years ago
OpenStudy (anonymous):

|dw:1341346598504:dw|

6 years ago