2. Determine if the function is Odd Even Neither. [6] f(x) = -3x4 + 2x3 – 5x2 + x
1 answer:
Answer:
neither
Step-by-step explanation:
• If f(x) = f(- x) then f(x) is even
• If f(- x) = - f(x) then f(x) is odd
Given
f(x) = - 3 + 2x³ - 5x² + x , then
f(- x) = - 3 + 2(- x)³ - 5(- x)² + (- x) = - 3
- 2x³ - 5x² - x
Since f(x) ≠ f(- x) then f(x) is not Even
- f(x) = - (- 3 + 2x³ - 5x² + x) = 3
- 2x³ + 5x² - x
Since f(- x) ≠ - f(x) then f(x) is not Odd
Thus f(x) is neither even nor odd
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