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Determine whether `f(x) = x^2sqrt(9-x^8)` is even, odd, or neither. Select all that apply.
To determine if the function is even, odd, or neither, follow these steps:
Even Function Test: Check if `f(−x)=f(x)`. If true, the function is even.
Odd Function Test: Check if `f(−x)=−f(x)`. If true, the function is odd.
Apply these tests to `f(x)` by substituting `−x` for `x` and simplifying. Remember, a function that does not satisfy either condition is considered neither even nor odd.
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Box 1: Select all correct answers
even