Algebra Question

Question

Determine algebraically whether the function is even,odd, or neither: Explain

f (x)= 3x³ + 5

Answer 1

Hi Jentre,

To determine algebraically if a function is even or odd, you replace x with -x, and analyze the result.

If f(x) is even, then f(-x) = f(x)

If f(x) is odd, then f(-x) = -f(x)

In your case, f(-x) = 3(-x)³ + 5 = -3x³ + 5

This result does not equal f(x) nor does it equal -f(x) = -3x³ - 5

Therefore the function is neither even nor odd.

Hope this helps!

Shannon L.