Final answer:
The end behavior of the function is a horizontal line with a constant value of 7 as x approaches positive or negative infinity.
Step-by-step explanation:
The given function can be rewritten as:
f(x) = 5x + 2/(x - 3)
To rewrite it as f(x) = 5 + 17/(x - 3), we need to perform the division 5x + 2/(x - 3)/
Using long division, we get:
5x + 2/(x - 3) = 5 + 2(x - 3)/(x - 3)
= 5 + 2
= 7
So, the function f(x) = 7, which is a horizontal line.
The end behavior of a horizontal line is that as x approaches positive or negative infinity, the value of y remains constant at 7.