Question

Tell whether the function f(x) = -x3 + 7x + 4 is an even or odd function, and describe its symmetry. even: symmetric with respect to y-axis
odd: symmetric with respect respect to the x-axis
odd: symmetric with respect to the origin
neither even nor odd: not symmetric

Answer 1

since this is a cubic, it cannot be symmetric over the y.
check to see if f(1)=1f(-1) if it is then it's odd.
otherwise, it has neither symmetry...