Question

Use the table feature of a graphing calculator to create a table of values with a beginning input of 0. Use increments of​ 50,000 miles up to 300,000 miles.

Answer 1

To create a table of values for a specific function using a graphing calculator, you typically start by defining the function you wish to evaluate. Since you haven't provided a function to evaluate, I'll demonstrate how you might create a values table generally.

Let's say you have a hypothetical function \( f(x) \) where \( x \) represents the mileage (in miles) and you want to evaluate it in increments of 50,000 miles from 0 to 300,000 miles.

### Table of Values

To create the table of values, you can follow these steps:

1. **Define the Function**: Enter any function you are interested in evaluating at the specified mileages.

2. **Set the Table Settings**:
- Start \( x \) value = 0
- Change \( x \) increment = 50,000
- Final \( x \) value = 300,000

3. **Calculate Outputs**: Here’s an example of a hypothetical function, say \( f(x) = 0.0001x^2 + 10 \), and we'll evaluate this function.

### Example Table:

| Mileage (x) | Function Value \( f(x) = 0.0001x^2 + 10 \) |
|-------------|--------------------------------------------|
| 0 | 10 |
| 50,000 | 250.0 |
| 100,000 | 1,010.0 |
| 150,000 | 2,260.0 |
| 200,000 | 4,010.0 |
| 250,000 | 6,260.0 |
| 300,000 | 9,010.0 |

### Steps on a Graphing Calculator:

1. **Open the Function Editor**:
- Input \( y_1 = 0.0001x^2 + 10 \) (or any other function you are using).

2. **Access the Table Setting**:
- Set the start to 0, step to 50,000, and end to 300,000.

3. **Generate the Table**: This will display the mileage alongside the calculated function values.

If you provide a specific function you want to evaluate, I can generate more precise values for that function!