Home
/
Math
/
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

Question

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

Solution

Expert Verified
4.5 (256 Votes)
Stuart Elite ยท Tutor for 8 years

Answer

### and

Explanation

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