4. $f(x)=-x + 8$ for $x\rightarrow+infty$
4. $f(x)=-x + 8$ for $x\rightarrow+infty$
Answer
Explanation:
Step1: Analyze the function
The function is $f(x)=-x + 8$. The coefficient of $x$ is -1.
Step2: Consider the limit as $x\to+\infty$
As $x$ approaches positive infinity, the term $-x$ dominates. Since the coefficient of $x$ is negative, $-x\to-\infty$ as $x\to+\infty$. And adding 8 to $-x$ does not change the overall behavior. So $\lim_{x\to+\infty}(-x + 8)=-\infty$.
Answer:
$-\infty$