QuestionJuly 27, 2025

Choose the odd function. y=3-6x y=6x y=x^2 y=4-x^2

Choose the odd function. y=3-6x y=6x y=x^2 y=4-x^2
Choose the odd function. y=3-6x y=6x y=x^2 y=4-x^2

Solution
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Answer

y=6x Explanation 1. Define Odd Function A function f(x) is odd if f(-x) = -f(x) for all x. 2. Check Each Function For y=3-6x: f(-x) = 3 + 6x \neq -(3 - 6x), not odd. For y=6x: f(-x) = -6x = -f(x), odd. For y=x^{2}: f(-x) = x^2 \neq -x^2, not odd. For y=4-x^{2}: f(-x) = 4-x^2 \neq -(4-x^2), not odd.

Explanation

1. Define Odd Function<br /> A function $f(x)$ is odd if $f(-x) = -f(x)$ for all $x$.<br /><br />2. Check Each Function<br /> For $y=3-6x$: $f(-x) = 3 + 6x \neq -(3 - 6x)$, not odd.<br /> For $y=6x$: $f(-x) = -6x = -f(x)$, odd.<br /> For $y=x^{2}$: $f(-x) = x^2 \neq -x^2$, not odd.<br /> For $y=4-x^{2}$: $f(-x) = 4-x^2 \neq -(4-x^2)$, not odd.
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