For these functions, determine which ones are EVEN. (y axis symmetry)
a) f(x)=3x^4 + 4
b) f(x) = x^3 + 4
c) f(x) = x^2 + x - 3
d) f(x) = 2x^4 + x^2 + 1
e) f(x) = 4
f) f(x) = x^4 + x^3 + x^2 + x + 1
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Functions a, d, and e are even because they contain only even powers of x (or no x at all, as in e).
By definition, even function obeys the condition
f(-x) = f(x).
For any even power n of x
`(-x)^n = x^n`
So the functions that contain only even powers of x are even.
A, D, E
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