Question

In Exercises \(21-30\) , determine whether the function is even, odd, or neither. Try to answer without writing anything (except the answer). $$y=x+2$$

Short answer

The function \(y=x+2\) is neither even nor odd.

Step-by-step solution

Analyze The Function

The given function is \(y = x + 2\).

Check If The Function Is Even

An even function is the one that satisfies the condition: \(f(-x) = f(x)\). Substituting \(-x\) into the given function, we get \(-x + 2\), which does not equal to our original function \(x + 2\). So, the function is not even.

Check If The Function Is Odd

An odd function is the one that satisfies the condition: \(f(-x) = -f(x)\). If we substitute \(x\) into \(-f(x)\), we get \(-x - 2\), which is not equal to \(-x + 2\). So, the function is not odd either.