Answer:
Odd
Step-by-step explanation:
To determine if a function is even or odd, substitute -x for every x in the function. Then, simplify. If you receive the same function as before, then the function is even. If you receive a function in which all the terms' signs have been switched, then it is odd. If the function does not qualify as either, then it is neither.
1) Substitute -x for every x in the given function and simplify as shown:
[tex]f(-x) = 5(-x)+(-x)^3\\f(-x) = -5x - x^3\\[/tex]
2) Look at the answer. All the signs in the original function have now been switched. The signs were originally positive, but now they are negative. Thus, this function is odd.
