1. what happens to the graph of f(x)= -x² as x→∞? a. f(x)→1 b. f(x)→∞ c. f(x)→ -∞ d. f(x)→0

Answer:

C. $f(x)\to -\infty$

Explanation:

Step1: Analyze the function

The function is $f(x)=-x^{2}$.

Step2: Consider the behavior of $x^{2}$ as $x\to\infty$

As $x\to\infty$, $x^{2}\to\infty$ since squaring a very large positive number gives a very large positive result.

Step3: Consider the negative sign

Since $f(x)=-x^{2}$, when $x^{2}\to\infty$, multiplying by - 1 gives $f(x)\to -\infty$.