Question

Which table shows a function whose range has exactly three elements? (1 point) Responses 1 4 2 4 3 4 Image with alt text: x Image with alt text: f left-parenthesis x right-parenthesis 1 4 2 4 3 4 3 8 4 6 5 12 6 8 Image with alt text: x Image with alt text: f left-parenthesis x right-parenthesis 3 8 4 6 5 12 6 8 0 5 2 9 0 15 Image with alt text: x Image with alt text: f left-parenthesis x right-parenthesis 0 5 2 9 0 15 1 4 3 2 5 1 3 4 Image with alt text: x Image with alt text: f left-parenthesis x right-parenthesis 1 4 3 2 5 1 3 4 Skip to navigation

Answer 1

To determine which table shows a function whose range has exactly three elements, we need to identify the unique output values (range) from each table provided.

1. **First Table:**
- Outputs: 4, 4, 4
- **Range:** {4} (1 element)

2. **Second Table:**
- Outputs: 8, 6, 12, 8
- **Range:** {8, 6, 12} (3 elements)

3. **Third Table:**
- Outputs: 5, 9, 15
- **Range:** {5, 9, 15} (3 elements)

4. **Fourth Table:**
- Outputs: 4, 2, 1
- **Range:** {4, 2, 1} (3 elements)

From the analysis:

- The **Second Table** has outputs of 8, 6, and 12 (three unique values).
- The **Third Table** has outputs of 5, 9, and 15 (three unique values).
- The **Fourth Table** has outputs of 4, 2, and 1 (three unique values).

All three tables (Second, Third, and Fourth) have ranges with exactly three unique elements.

Since two of the options meet the criteria, without restrictions on the choice, I would highlight:
- **Second Table**: {8, 6, 12}
- **Third Table**: {5, 9, 15}
- **Fourth Table**: {4, 2, 1}

You may choose any of these tables, but all show a function with exactly three elements in the range. If a single response is required, I would recommend picking the **Second Table** (outputs: 8, 6, 12).