College

The following data were collected from members of a college precalculus class.

Is the set of ordered pairs (x, y) a function?

- X (height) | Y (weight)
- 72 in | 180 lb
- 60 in | 204 lb
- 60 in | 120 lb
- 63 in | 145 lb
- 70 in | 184 lb

Answer :

Final answer:

The set of ordered pairs (x,y) is not a function because there is a height value associated with multiple weight values.

Explanation:

The set of ordered pairs (x,y) represents the heights and weights of the members of a college precalculus class. In order for the set to be a function, each unique value of x (height) must correspond to only one value of y (weight). Let's analyze the data to determine if it meets this criterion:

  1. 72 in - 180 ib
  2. 60 in - 204 ib
  3. 60 in - 120 ib
  4. 63 in - 145 ib
  5. 70 in - 184 ib

As we can see, the height of 60 in is associated with two different weights, 204 ib and 120 ib. This violates the definition of a function, therefore the set of ordered pairs is not a function.

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