Awesomegirl2003 Awesomegirl2003

21-03-2020
Mathematics

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Prove algebraically what type of function this is (even, odd, or neither).
f(x)=x^6-x^4

Please helpp with the last problem.

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sqdancefan sqdancefan

23-03-2020

Answer:

even

Step-by-step explanation:

An even function is one that has the property ...

f(x) = f(-x)

If we evaluate the function for -x, we find ...

f(-x) = (-x)^6 -(-x)^4

f(-x) = (-1)^6·x^6 -(-1)^4·x^4

f(-x) = x^6 -x^4 = f(x)

The function is even.

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