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4 Determine whether the given function is even, odd or neither (a) f(x) = x³ + sin 2x; (b) f(x) = e?? sin 3x. (c) f(x) = sin(x + 1);

          4 Determine whether the given function is even, odd or neither
(a) f(x) = x³ + sin 2x;
(b) f(x) = e?? sin 3x.
(c) f(x) = sin(x + 1);
        
4 Determine whether the given function is even, odd or neither
(a) f(x) = x³ + sin 2x;
(b) f(x) = e?? sin 3x.
(c) f(x) = sin(x + 1);

Added by Jasmine R.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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4 Determine whether the given function is even, odd or neither (a) f(x)=x3+sin 2x; (b) f(x)=e-*sin 3x. (c) f(x)=sin(x+1);
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Transcript

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00:01 So in this question we have f of x equals of x plus sine x and we're wondering if this is an odd function.
00:08 So if this is an even function, then f of negative x equals to f of x.
00:14 If it's an odd function, then f of negative x equals to negative f of x.
00:22 So let's go ahead and see whether this is even an odd by plugging negative x...
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