Question

Select the correct answer.

Which statement is true about function f, which is shown in the graph?
f(x) = -805 + 413 + 5x

Answer 1

The function is neither even nor odd.

Explanation:

A function is odd if:

f(x) = - (f-x)

A function is even if:

f(x) = f(-x)

A function is neither odd nor even if neither of the above two equalities are true, that is to say:

f(x) != f(-x) and f(x) != -f(-x)

Which is our case. (because substituting (-x) in place of (x) will not give us either of the equations. So the function is neither odd, nor even.