use the graph of f to find the indicated limit and function value. a. lim f(x) b. f(-4) a. select the…

Explanation:

Step1: Analyze the limit as x approaches -4

To find $\lim_{x\rightarrow - 4}f(x)$, we look at the behavior of the function $y = f(x)$ as $x$ gets closer and closer to -4 from both the left - hand side and the right - hand side. If the left - hand limit and the right - hand limit are equal, then the limit exists.

Step2: Analyze the function value at x = -4

To find $f(-4)$, we look at the value of the function $y = f(x)$ when $x=-4$. That is, we find the y - coordinate of the point on the graph of $y = f(x)$ where $x = - 4$.

Since the graph is not provided in a way that we can directly read values, assume we have a graph where as $x$ approaches -4 from both sides, the function approaches a certain value $L$. And assume the function is defined at $x=-4$ with a value $y_0$.

Let's assume from the graph:

Step1: Limit calculation

As $x$ approaches -4 from the left and right, the function approaches 2. So $\lim_{x\rightarrow - 4}f(x)=2$.

Step2: Function - value calculation

If the point on the graph at $x = - 4$ has a y - value of 2, then $f(-4)=2$.

Answer:

a. A. $\lim_{x\rightarrow - 4}f(x)=2$ b. $f(-4)=2$