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: Analyze the concept of limits

The limit of a function as \(w\to3.3\) is the value that the function approaches as \(w\) gets arbitrarily close to \(3.3\). For a step - function (which is likely the case for a postage - related function where the cost changes in discrete steps based on weight), we look at the behavior of the function near \(w = 3.3\).

Step2: Observe the graph

If we assume the graph of the postage function \(p=f(w)\) is a step - function (since postage is charged in discrete intervals based on weight), we note that as \(w\) approaches \(3.3\) from both the left and the right, the value of the function \(f(w)\) approaches the value of the function at the step where \(w = 3.3\) lies. Looking at the typical behavior of a postage - cost function (a non - decreasing step - function), we find the value of the function at the step containing \(w = 3.3\).

Answer:

We need the actual graph to determine the value of \(\lim_{w\to3.3}f(w)\). But the general process is to check the \(y\) - value (value of \(p\)) that the function approaches as \(w\) gets close to \(3.3\) from both sides. If the left - hand limit \(\lim_{w\to3.3^{-}}f(w)\) and the right - hand limit \(\lim_{w\to3.3^{+}}f(w)\) are equal, then \(\lim_{w\to3.3}f(w)\) is equal to that common value. Without the specific graph details, we can't give a numerical answer.