Question

a. graph the function p = f(w) that gives the postage p for sending a letter that weighs w ounces, for 0 < w ≤ 5. choose the correct graph below. b. evaluate lim w→3.3 f(w). lim w→3.3 f(w)=□

Explanation:

Step1: Recall limit - definition

The limit of a function as $w$ approaches a value is the value that the function approaches as $w$ gets arbitrarily close to that value. For a step - function (which is likely the case here as the graph seems to be a piece - wise constant function), we need to check the left - hand limit and the right - hand limit.

Step2: Analyze the graph at $w = 3.3$

As $w$ approaches $3.3$ from both the left and the right (if the function is well - behaved around $w = 3.3$), we look at the $y$ - values of the function near $w = 3.3$. If the left - hand limit $\lim_{w
ightarrow3.3^{-}}f(w)$ and the right - hand limit $\lim_{w
ightarrow3.3^{+}}f(w)$ are equal, then $\lim_{w
ightarrow3.3}f(w)$ exists and is equal to that common value. From the graph of the step - function, as $w$ approaches $3.3$, the function value approaches $1$.

Answer:

$1$