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Feb 24 -28, 2025 2. What is a function? 4. Determine the Domain and Range. Is it a function? (-4,2),(-2,6),(0,3),(3,7),(5,1) D: R:1 Is it a function? __

Problemas

Feb 24 -28, 2025
2. What is a function?
4. Determine the Domain and Range. Is it a
function?
 (-4,2),(-2,6),(0,3),(3,7),(5,1) 
D:
R:1
Is it a function? __

Feb 24 -28, 2025 2. What is a function? 4. Determine the Domain and Range. Is it a function? (-4,2),(-2,6),(0,3),(3,7),(5,1) D: R:1 Is it a function? __

Solución

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Constanzaveterano · Tutor durante 11 años
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1. A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.<br />2. D: \{-4, -2, 0, 3, 5\}<br />3. R: \{2, 6, 3, 7, 1\}<br />4. Yes

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1. A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. In other words, for every x-value, there is only one y-value.<br />2. The given set of ordered pairs is \(\{ (-4,2),(-2,6),(0,3),(3,7),(5,1)\} \). The domain (D) of a function is the set of all possible input values (x-values), which are the first elements of the ordered pairs. In this case, the domain is \{-4, -2, 0, 3, 5\}.<br />3. The range (R) of a function is the set of all possible output values (y-values), which are the second elements of the ordered pairs. In this case, the range is \{2, 6, 3, 7, 1\}.<br />4. To determine if the given set of ordered pairs is a function, we need to check if each x-value is paired with only one y-value. Since no x-value is repeated in the given set of ordered pairs, it is a function.
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