+593 Which classify the graphs of functions:
Odd Function
Even Function
Neither Even nor Odd Function
Both Even and Odd Function
+9466 If f(x) is even, that means f(-x) = f(x) for all x values.
If f(x) is odd, that means f(-x) = -f(x) for all x values.
On the first graph, for instance, f(2) = 4 and f(-2) = -4 = -f(2)
We can see that it is like this for all x values that we could pick.
So f(-x) = -f(x) for all x values. This function is odd.
On the second graph, for instance, f(2) = 4 , but f(-2) doesn't equal positive 4 or negative 4.
So f(-x) ≠ f(x) and f(-x) ≠ -f(x) This function is neither.
On the third graph, f(2) = 0 but f(-2) = -8
So f(-x) ≠ f(x) and f(-x) ≠ -f(x) This function is neither.
+260 1st graph:odd function
2nd graph:odd function
3rd graph:even function
+9466 If f(x) is even, that means f(-x) = f(x) for all x values.
If f(x) is odd, that means f(-x) = -f(x) for all x values.
On the first graph, for instance, f(2) = 4 and f(-2) = -4 = -f(2)
We can see that it is like this for all x values that we could pick.
So f(-x) = -f(x) for all x values. This function is odd.
On the second graph, for instance, f(2) = 4 , but f(-2) doesn't equal positive 4 or negative 4.
So f(-x) ≠ f(x) and f(-x) ≠ -f(x) This function is neither.
On the third graph, f(2) = 0 but f(-2) = -8
So f(-x) ≠ f(x) and f(-x) ≠ -f(x) This function is neither.
