Algebra-1

The end behavior of a function describes what happens to the function's values as the input (x) approaches positive infinity and negative infinity. In this case, the function f(x) = x is a linear function with a slope of 1.

As x approaches positive infinity (x → +∞), the values of x keep getting larger and larger. Since the function f(x) = x simply returns the input value, as x becomes larger and larger, f(x) also becomes larger and larger. In other words, the function grows without bound as x approaches positive infinity. Mathematically, we can write this as f(x) → +∞ as x → +∞.

On the other hand, as x approaches negative infinity (x → -∞), the values of x keep getting smaller and smaller in the negative direction. Again, since the function f(x) = x returns the input value, as x becomes more negative, f(x) also becomes more negative. So, the function f(x) approaches negative infinity as x approaches negative infinity. Mathematic...