Mathematics, 24.07.2019 19:00 alexamorantess

What is the domain of the given function? {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)} {x | x = –4, –1, 3, 5, 6} {y | y = –2, 0, 1, 4, 9} {x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9} {y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}

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Answer from: lovelyheart5337

The domain of the function $\{(3,-2),(6,1),(-1,4),(5,9),(-4,0)\}$ is $\boxed{\{x|x=-4,-1,3,5,6\}}$ .

Hence, the correct option is $\boxed{\bf option 1}$ .

Further Explanation:

Here, the function is the form of $\{(x,y)|\ x,y\in \mathbb{R}\}$ , where is domain of the function, is the range of the function and $\mathbb{R}$ denotes the set of real numbers.

The domain of a function is the set of all those points where the function is defined that is all the possible values of such that the function gives the output .

The range of the function is defined as all the values of when (domain) is defined.

The function is $\{(3,-2),(6,1),(-1,4),(5,9),(-4,0)\}$ .

The values of for which the value of function is obtained is $\{-4,-1,3,5,6\}$ .

Given:

The function is $\{(3,-2),(6,1),(-1,4),(5,9),(-4,0)\}$ .

Option (1)

Here, the values of are $\{-4,-1,3,5,6\}$ .

So, the given option is $\{x|x=-4,-1,3,5,6\}$ which includes all the points where the function is defined.

Therefore, option (1) is correct.

Option (2)

In this option we are provided with the values of as the given values are the output of the function.

Therefore, the given option $\{y|y=-2,0,1,4,9\}$ is not applicable for the domain of the function $\{(3,-2),(6,1),(-1,4),(5,9),(-4,0)\}$ .

Therefore, option (2) is incorrect.

Option (3)

Here, the values of are $\{-4,-2,-1,0,1,3,4,5,6,9\}$ .

But for x=-2,0,4,9 the function is not defined.

Therefore, the given option $\{x|x=-4,-2,-1,0,1,3,4,5,6,9\}$ is not applicable for the domain of the function $\{(3,-2),(6,1),(-1,4),(5,9),(-4,0)\}$ .

THereofre, option (3) is incorrect.

Option (4)

In this option we are provided with the values of as the given values are the output of the function.

Therefore, the given option $\{y|y=-4,-2,-1,0,1,3,4,5,6,9\}$ is not applicable for the domain of the function $\{(3,-2),(6,1),(-1,4),(5,9),(-4,0)\}$ .

This implies that option (4) is incorrect.

Out of the four options, the option (1) is correct.

Learn more

1. Learn more about range of the function

2. Learn more about domain of the function

3. Learn more about domain and range of the function

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Relation and Function

Keywords: Function, range, domain, relation, ordered pairs, sets, real numbers, ordinates, abscissa, co-domain, interval , open interval, closed intervals, semi-closed intervals, semi-open intervals.

Answer from: Quest

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step-by-step explanation:

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140/20=7

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What is the domain of the given function? {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)} {x | x = –4,...

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