Question

How do you determine if `f(x)=7` is an even or odd function?

Answer 1

"7" is an odd number

Explanation:

Please follow the following steps:

1) Divide the given numerical number by 2.
2) If the answer is real number , such as 3.5, then we have odd number.
3) If the answer is integer number, such as 3, then we have an even number.

Examples:
A) `"7"/"2"` = 3.5 is areal or odd number
B) `"6"/"2"` = 3 is an integer or even number

Answer 2

`f(x) = 7` is an even function.

Explanation:

• A function `f(x)` is even if `f(-x) = f(x)` for all `x` in the domain of `f(x)`.

• A function `f(x)` is odd if `f(-x) = -f(x)` for all `x` in the domain of `f(x)`

In our example, with `f(x) = 7` we find:

`f(-x) = 7 = f(x)`

for all `x`

So `f(x)` is even.