Question

F(x)=2x+1 четное или не четное число?

Answer 1

Ответ: при целом х нечётное число.

Объяснение:

Answer 2

To determine whether the function $f(x) = 2x + 1$ yields an even or odd number, we need to examine its properties.

A function is considered even if $f(x) = f(-x)$ for all values of $x$, and it is odd if $f(x) = -f(-x)$ for all values of $x$.

Let's evaluate the function for both cases:

1. Even property: $f(-x) = 2(-x) + 1 = -2x + 1$

   Comparing this with the original function: $f(x) = 2x + 1$

   Since $f(-x) \neq f(x)$ (because of the positive coefficient 2 in front of $x$), the function does not satisfy the even property.

2. Odd property: $-f(-x) = -(2(-x) + 1) = -(-2x + 1) = 2x - 1$

   Comparing this with the original function: $f(x) = 2x + 1$

   Since $-f(-x) \neq f(x)$ (because of the positive constant term 1), the function also does not satisfy the odd property.

Therefore, the function $f(x) = 2x + 1$ is neither even nor odd.