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inna [77]
3 years ago
14

2. Determine if the function is Odd Even Neither. [6] f(x) = -3x4 + 2x3 – 5x2 + x

Mathematics
1 answer:
vredina [299]3 years ago
7 0

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) = - 3x^{4} + 2x³ - 5x² + x , then

f(- x) = - 3(-x)^{4} + 2(- x)³ - 5(- x)² + (- x) = - 3x^{4} - 2x³ - 5x² - x

Since f(x) ≠ f(- x) then f(x) is not Even

- f(x) = - (- 3x^{4} + 2x³ - 5x² + x) = 3x^{4} - 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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\qquad\qquad\huge\underline{{\sf Answer}}

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