Select which mapping represents a function.

Question

Then complete the table with the x and y values from the mapping. Remember that every x should be paired with exactly one y to meet the definition of a function.

🤔 Uh-oh, your table is not quite right. Did you choose the right mapping diagram? Remember that your input values (x) go in the first column, and your output values (y) go in the second column. Try again.
x
y

Answer 1

In order to determine which mapping represents a function, we need to ensure that each input (x value) has exactly one output (y value). A mapping is considered a function if no x-value is associated with more than one y-value.

Since you've mentioned there is a mapping diagram to review, you'll want to check it for any instances where:

• An x-value corresponds to multiple y-values. If this occurs, that mapping is not a function.

If you provide the specific mappings or data points from the mapping diagram, I can help you identify which one is a function and then help you complete the table correctly. Please share the mappings and I will assist you further.

Answer 2

the mapping is

A
-1 pointingting to 4

-2 pointing to 5 and 6

B
1 and 2 pointing to 4

3 pointing to 5

Answer 3

To determine which mapping represents a function, we need to analyze each separately based on the criteria that each input (x-value) can have only one output (y-value).

Mapping A:

1. -1 points to 4 (valid, since it has one output)
2. -2 points to 5 and 6 (not valid, since -2 has two outputs)

Since mapping A has an x-value (-2) that has two different y-values (5 and 6), Mapping A is not a function.

Mapping B:

1. 1 points to 4 (valid)
2. 2 points to 4 (valid, since it's the same output as 1)
3. 3 points to 5 (valid)

All x-values in mapping B have exactly one corresponding y-value. Therefore, Mapping B represents a function.

Completing the Table for Mapping B:

We will list the x-values and their corresponding y-values from Mapping B.

| x | y | |---|---| | 1 | 4 | | 2 | 4 | | 3 | 5 |

This table shows that each x-value maps to exactly one y-value, satisfying the definition of a function. If you have any other questions or need further assistance, feel free to ask!

Answer 4

can you complete the table again

Answer 5

Absolutely! Here’s the completed table based on the mapping from Mapping B:

Mapping B:

• x = 1 maps to y = 4
• x = 2 maps to y = 4
• x = 3 maps to y = 5

The completed table would look like this:

| x | y | |---|---| | 1 | 4 | | 2 | 4 | | 3 | 5 |

This table accurately represents the function mapping from Mapping B, where each x-value corresponds to exactly one y-value. If you need any more assistance or details, just let me know!

Answer 6

thank you sooooo much

Answer 7

You're very welcome! 😊 I'm glad I could help. If you have any more questions or need assistance with anything else, feel free to ask. Happy studying!

Answer 8

Input 1, 2, 3, 2, 1
Output 5, 10, 15 20, 24
Definition: A function is a rule that assigns EXACTLY ONE output to each possible input.

This table DOES NOT represent a function.

Change at least one number in the table so that it DOES represent a function.

Explain why you made each change.

Answer 9

To determine why the original table does not represent a function, we need to check how the inputs are paired with the outputs:

Original Table:

• Input: 1, 2, 3, 2, 1
• Output: 5, 10, 15, 20, 24

Analysis:

• The input 1 corresponds to 5 (first occurrence) and also again corresponds to 5 (second occurrence). This is valid as it maps to the same output.
• The input 2 corresponds to 10 (first occurrence) and 20 (second occurrence). This is not valid because the same input (2) has two different outputs (10 and 20).
• The input 3 corresponds to 15 (valid).
• The input 1 already mentioned maps to 5 so no issues there.

Because input 2 maps to two distinct outputs (10 and 20), the table does not satisfy the function definition.

Proposed Changes:

To make this a function, we can change one of the outputs for input 2 so that it has exactly one output.

Let's change the output for the second occurrence of 2 (which is currently 20) to something else, for instance 12.

Updated Table:

• Input: 1, 2, 3, 2, 1
• Output: 5, 10, 15, 12, 24

Explanation of the Changes:

1. Input 2 Output Change: Changed output from 20 to 12.
   • Now, both occurrences of input 2 reliably output 10, ensuring it has exactly one output.

By making this change, we have eliminated the ambiguity in the mapping for input 2, allowing the table to now represent a function where each input corresponds to a single, unique output.

If you have any further questions or need more changes, feel free to ask!

Answer 10

it says you're wrong

Answer 11

I apologize for the confusion. Let's clarify the situation to ensure we correct the table properly.

Original Table:

• Input: 1, 2, 3, 2, 1
• Output: 5, 10, 15, 20, 24

Analysis:

As mentioned earlier, the input 2 maps to 10 on the first occurrence and 20 on the second occurrence. This means that input 2 has two different outputs, which means the original table does not represent a function.

Goal:

We need to ensure that each input has exactly one associated output.

Valid Change:

We can either omit the duplicate entry for input 2 or change the output for one of the duplicates. Let’s choose to keep only one instance of input 2 and ensure it has a single output.

Updated Table:

Let's remove the duplicate input 2 and keep just one entry:

• Input: 1, 2, 3
• Output: 5, 10, 15

Explanation of the Changes:

• Removed the duplicate input 2: This change ensures that input 2 now associates with only one output (10), fulfilling the definition of a function.

Now the table represents a function since each input has exactly one corresponding output.

If you would like a different approach or another type of adjustment, please let me know!