Final answer:
To divide a function f(x) by (x + 1), use polynomial long division. The end behavior of f(x) depends on the highest power of x in the polynomial.
Step-by-step explanation:
To divide a function f(x) by (x + 1), we can use polynomial long division. Let's say the function f(x) is given by f(x) = ax^n + bx^(n-1) + ... + cx + d.
Step 1: Divide the first term of f(x) by the first term of (x + 1) to get the quotient. In this case, the quotient is ax^(n-1).
Step 2: Multiply (x + 1) by the quotient obtained in the previous step and subtract it from f(x). This will give us a new polynomial.
Step 3: Repeat steps 1 and 2 with the new polynomial until you reach the last term. If there is a remainder after dividing, it will be the last term in the new polynomial.
The end behavior of f(x) can be determined by looking at the highest power of x in the polynomial. If the highest power is even, the end behavior will be the same as the leading coefficient. If the highest power is odd, the end behavior will be opposite to the leading coefficient.
In this case, we do not have enough information about the specific form of f(x) to determine the end behavior. It would depend on the values of a, b, c, and d in the function.