Answer: D. The function is neither even nor odd.
Step-by-step explanation:
A function f(x) is even if:
f(x) = f(-x) for all x-valies
A function f(x) is odd if:
f(x) = -f(-x) for all x-values.
If there is only one value of x such that the above conditions are false, then the function is neither odd nor even.
In the graph, we can see that:
f( -π/3) = f(π/3)
This would imply that the function is even (at least in that point)
And can also see that as x increases from zero, the value of f(x) increases.
And as x decreases from zero, the graph of f(x) decreases.
So for a point 1 > a > 0, we have that:
f(a) ≠ f(-a)
Then we can conclude that the function is neither even nor odd, the correct option is D.
