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If y = 7x – 5, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? (5 points) {(–5, 0), (9, 2), (–26, –3)} {(2, 7), (1, 6), (3, 13)} {(0, –5), (2, 9), (–3, –26)} {(1, 3), (6, 18), (8, 15)}

2 Answers

4 votes
The third set, (0, -5) (2,9) (-3,-26)
User Azimuth
by
8.1k points
7 votes

Answer:

The third set is the correct option.

Explanation:

We have the following function :


y=7x-5

We can also write it as


f(x)=7x-5

  • This means that the function ''f'' depends of the variable x.
  • The possible inputs of the function are the values that the "x" can assume.

Now, given a possible ''x'', if we replace it in the expression of f(x) the result will be a possible output that matches that input.

For example, If
x=0


y=7.(0)-5=-5

If x = 0 ⇒ y = -5

The pair
(x,y)=(0,-5) is a possible input-output pair.

In this exercise we have 4 sets. In order to find a set of possible input-output pairs, we need to replace them in the equation of the function.

  • The first set is {(-5,0),(9,2),(-26,-3)}

If we replace each pair in the function :


0=7(-5)-5=-40


0=-40

The pair (-5,0) is not a possible pair of input-output. Therefore,we can't say that all the set is a possible pair of input-output for the function.

  • The second set is {(2,7),(1,6),(3,13)}

Replacing each pair in the function :


7=7.(2)-5=9


7=9

Therefore the pair (2,7) is not a possible pair of input-output for the function and we can't say that all the set is a possible input-output set for the function.

  • The third set is {(0,-5),(2,9),(-3,-26)}

If we replace each pair in the function


-5=7.(0)-5


-5=-5

The second pair


9=7.(2)-5=9


9=9

The last pair


-26=7.(-3)-5


-26=-26

All pairs match the function. Therefore the third set of pairs is a possible pair of input-output for the function.

  • The last set {(1,3),(6,18),(8,15)}

If we replace in the function each pair


3=7(1)-5=2


3=2

The pair (1,3) is not a possible input-output pair for the function. Therefore, we can't say that all the set is a possible input-output set of pairs for the function.

The set {(0,-5),(2,9),(-3,-26)} represents a possible set of input-output pairs for the function.

User OBV
by
8.6k points

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