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QveST [7]
3 years ago
5

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)}
Mathematics
2 answers:
Setler79 [48]3 years ago
3 0
The third set, (0, -5) (2,9) (-3,-26)
xeze [42]3 years ago
3 0

Answer:

The third set is the correct option.

Step-by-step 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.

<em />

<u>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. </u>

  • 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

<em>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. </em>

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

Replacing each pair in the function :

7=7.(2)-5=9

7=9

<em>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. </em>

  • 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

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

<em> </em>

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

If we replace in the function each pair

3=7(1)-5=2

3=2

<em>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. </em>

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

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