is f(x) the same as f(x)
Mathematics
Cy0
Question
is
f(x)
the same as
f(x)
f(x)
the same as
f(x)
1 Answer

1. User Answers sqdancefan
Answer:
In general, no.
Stepbystep explanation:
f(x) = f(x) when the function is "odd." Such a function is symmetrical about the origin. This will not generally be the case, so, in general, f(x) ≠ f(x).
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Additional comment
When f(x) = f(x), the function is "even." It is symmetrical about the yaxis.
Among trig functions, sin(x) is odd, and cos(x) is even.
Among polynomials, any polynomial with only odddegree terms is odd; any polynomial with only evendegree terms is even.