Answered

From simple queries to complex problems, IDNLearn.com provides reliable answers. Discover reliable and timely information on any topic from our network of experienced professionals.

The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.

Is the relation given by the set of ordered pairs below a function? (Yes or No)

[tex]\[ (4, -3), (-3, 2), (-4, 6), (8, -2), (0, 2) \][/tex]

Sagot :

GinnyAnsweridn
To determine if the set of ordered pairs represents a function, we need to check if every x-value is associated with exactly one y-value. In other words, each x-value should appear only once in the entire set of pairs.

Let's examine each pair:

1. [tex]\( (4, -3) \)[/tex]
- The x-value is 4.

2. [tex]\( (-3, 2) \)[/tex]
- The x-value is -3.

3. [tex]\( (-4, 6) \)[/tex]
- The x-value is -4.

4. [tex]\( (8, -2) \)[/tex]
- The x-value is 8.

5. [tex]\( (0, 2) \)[/tex]
- The x-value is 0.

Next, we list all the x-values and check for any duplicates:
- 4, -3, -4, 8, 0

We observe that each x-value appears exactly once. Since there are no repeated x-values, each input (x-value) has exactly one output (y-value).

Therefore, the set of ordered pairs represents a function.

The answer is:
Yes
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.