Identify the values that could replace E and Fin the function rule below so that the graph represents the situation. D(g)= ) 1,&0lt glt 4 (E)/(10,)&4leqslant glt 6 10,&F

## Step 1: Analyzing the Piecewise Function<br />### The given piecewise function $D(g)$ represents the cost of shipping a package based on its weight $g$. The function has three pieces:<br />### 1. $D(g) = 1$ for $0 < g < 4$: This means a package weighing between 0 and 4 (exclusive) costs 1.<br />### 2. $D(g) = \frac{E}{10}$ for $4 \le g < 6$: This means a package weighing between 4 (inclusive) and 6 (exclusive) costs $\frac{E}{10}$.<br />### 3. $D(g) = 10$ for $g \ge F$: This means a package weighing F or more costs 10.<br /><br />## Step 2: Determining E<br />### From the graph, we see that when $g=4$ (or $4 \le g < 6$), $D(g) = 2$. Substituting these values into the second piece of the function, we get $2 = \frac{E}{10}$. Solving for $E$, we get $E = 20$.<br /><br />## Step 3: Determining F<br />### From the graph, we see that the cost jumps to 10 when $g=6$. This corresponds to the third piece of the function, where $D(g) = 10$ for $g \ge F$. Therefore, $F=6$.