How do you determine if # f(x) = x((x^2)-1)# is an even or odd function?
1 Answer
May 16, 2016
This function is an odd function.
Explanation:
To find out if the function
If
else if
else we can say that the function is neither even nor odd.
In the example above we have:
So we see, that
We can also find if the function is odd or even looking at its graph.
If the function is even then Y-axis is the axis of symetry of its graph, else if the function is odd then the origin (0,0) is the graph's center of symetry.
graph{x*(x^2-1) [-10, 10, -5, 5]}
