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patriot [66]
3 years ago
8

Which of the sets of ordered pairs represents a function?

Mathematics
2 answers:
ANEK [815]3 years ago
7 0

Answer: neither A or B

Step-by-step explanation:

both have repeated inputs and outputs

IgorC [24]3 years ago
3 0

Answer:

Neither set A nor set B represents a function.  

Step-by-step explanation:

According to the definition of a function, for each input there exists a unique output. In other word for each value of x there exists unique value of y.

In set A we have four ordered pair (-4,5),(1,-1),(2,-2) and (2,3).

It means for x=2, we have two values of y, i.e., -2 and 3.

Since for a single value of x there exist more than one value of y, therefore set A is not a function.

In set B we have four ordered pair (2,2),(3,-2),(9,3) and (9,-3).

It means for x=9, we have two values of y, i.e., -3 and 3.

Since for a single value of x there exist more than one value of y, therefore set B is not a function.

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Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

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sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}

Now, the values are:

sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}

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It can be clearly observed that \theta is in 2nd quadrant.

2nd quadrant means, the value of x will be negative and y will be positive.

Let us have a look at the value of tan\theta:

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Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

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