find the range of f = { (6, 5), (2, 3), (1, 4) }

[looneyli]

The function below contains ordered pairs of the form (x, y):

. . .f = { (6, 5), (2, 3), (1, 4) }

What is the range of the function?

Can someone tell me how to solve this?

Also, how do you find a set of ordered pairs in which y is a funcion of x?

I'll probably have a few more problems, so please don't abandon me just yet

 

[stapel]

The domain of a relation is the input values (the x-values); the range is the output values (the y-values). So there is nothing to "solve" here; just copy the range from the provided list.

For your second question, I'm not sure what you mean. Please clarify "finding" a set of ordered pairs. Thank you.

Eliz.

 

[steve_b]

The function below contains ordered pairs of the form (x,y)

f={(6,5), (2,3), (1,4)}

what is the range of the function?

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The range consists of the values that the dependent variable can take on. The dependent variable is always listed as the second variable in the ordered pair - so y is the dependent variable in this problem. y takes on the values 3, 4, and 5, so those values constitute the range.

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how do you find a set of ordered pairs in which y is a funcion of x?

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For an ordered pair to be a function, the values chosen for the independent variable variable (the one listed first) must give rise to only one value of the dependent variable.

For example, the pairs (1,2), (3,4), and (5,6) reperesent a function, but (1,2), (3,4), and (1,6) do not, because the value of 1 for the independent variable gives two different values of the dependent variable (2 and 6).

Note, however, that two different values of the independent variable can give the same value of the dependent variable. For example: (1,2), (3,4), and (5,4) represent a function.

Hope that helps...

Steve