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Paul [167]
3 years ago
6

Determine if the given functions are even, odd or neither. f(x) = -2x2 - 7 and g(x) = 2x2 + 3

Mathematics
1 answer:
Anettt [7]3 years ago
3 0
Answer:

It's odd.

Explanation:

A function is odd when <span><span>f<span>(−x)</span></span>=−<span>f<span>(x)</span></span></span>

<span><span>f<span>(−x)</span></span>=6<span><span>(−x)</span>3</span>−2<span>(−x)</span></span>

<span>=−6<span>x3</span>+2x</span>

<span>=−<span>(6<span>x3</span>−2x)</span></span>

<span>=−<span>f<span>(x)</span></span></span>

Thus, the function is odd.

If a function is odd, then it is symmetric over the x-axis.

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