OpenStudy (anonymous):

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

5 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: $f(-x)=-x ^{3}=-f(x)$

5 years ago
OpenStudy (anonymous):

i don't really understand

5 years ago
OpenStudy (anonymous):

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

5 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

5 years ago
OpenStudy (anonymous):

|dw:1341346598504:dw|

5 years ago