If the leading coefficient of an even degree polynomial function is positive, then what is the end behavior? Be sure to express your answer using proper notation
If the leading coefficient of an even degree polynomial function is positive, then the end behavior of the function will be as follows:
As x approaches negative infinity, f(x) approaches positive infinity.
As x approaches positive infinity, f(x) also approaches positive infinity.
In notation, we can write this as:
- as x → -∞, f(x) → +∞
- as x → +∞, f(x) → +∞