How to tell whether a function is even or odd
Asked by admin @ in Mathematics viewed by 395 People
Determine algebraically whether the function is even, odd, or neither even nor odd.
f(x) = -8x^3 + 6x
A) Odd
B) Even
C) Neither
Answered by admin @
If f(-x) = f(x) then the function is even.
If f(-x) = -f(x) then the function is odd.
We have f(x) = -8x³ + 6x.
f(-x) = -8(-x)³ + 6(-x) = -8(-x³) - 6 = 8x³ - 6
-f(x) = -(-8x³ + 6x) = 8x³ - 6x
f(-x) = -f(x)
Answer: The function is odd.
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