Question 32 (1 point) Which of the following is an odd function? a) $y = 2x^3 - x + 1$ b) None are odd functions c) $y = 2x^3 - 3x^2$ d) $y = -2x(x^4 + x)$
Added by Kenneth S.
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Let's check each option. Option a) $f(x) = 2x^3 - x + 1$ Calculate $f(-x)$: $f(-x) = 2(-x)^3 - (-x) + 1$ $f(-x) = 2(-x^3) + x + 1$ $f(-x) = -2x^3 + x + 1$ Now calculate $-f(x)$: $-f(x) = -(2x^3 - x + 1)$ $-f(x) = -2x^3 + x - 1$ Since $f(-x) = -2x^3 + x + 1$ and Show more…
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