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T = {(-2,-8),(-5,-6)(-2,3)}

what is domain/ range

domain: {-2, -5}
range : {-8, -6, 3)

write them all out

User MobileTofu
by
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1 Answer

4 votes

Final answer:

The domain of the set T = {(-2, -8), (-5, -6), (-2, 3)} is the set of first elements from each ordered pair, yielding {-2, -5} and the range is the set of second elements, resulting in {-8, -6, 3}.

Step-by-step explanation:

The question is asking to determine the domain and range of a given set T. The set T is a collection of ordered pairs, which can represent points on a coordinate plane or input-output pairs in a function. The domain of a set of ordered pairs is the set of all the first elements from each ordered pair, and the range is the set of all the second elements.

In the set T = {(-2, -8), (-5, -6), (-2, 3)}, the domain is the set of the first components of each ordered pair, which are -2 and -5. Therefore, the domain is {-2, -5}. The range is the set of the second components, which are -8, -6, and 3. Hence, the range is {-8, -6, 3}.

To write them out:

  • Domain: {-2, -5}
  • Range: {-8, -6, 3}

The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined. The range of a function refers to the set of all possible output values, or y-values, that the function can produce.

In this problem, the domain of T is {-2, -5} because these are the x-values given in the set of ordered pairs. The range of T is {-8, -6, 3} because these are the corresponding y-values in the set of ordered pairs.

So, the complete domain is {-2, -5} and the complete range is {-8, -6, 3}.

User BurninLeo
by
8.2k points

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