If y = 8x − 2, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

{(0, −2), (1, 6), (2, 14)}

{(0, −2), (2, 13), (−5, −40)}

{(1, 7), (2, 7), (3, 7)}

{(1, 6), (2, 13), (3, 24)}

Respuesta :

You just need to try with all of the pair f.ex
0,-2 -> put 0 in the x-> y=8*0-2=-2 so ok it is q possible pair of the function..
You try every pair till you find set where all the pairs fit
So set 1
1 and 6: 8*1-2=6 ok
2 and 14 : 8*2-2=14 ok
Hope I could help

The correct answer is {(0, −2), (1, 6), (2, 14)}

What is function?

  • A function is defined such as it relates to inputs and outputs.

How to Solve the Problem?

The problem can be solved by following steps

The equation given is y = 8x-2

Taking the possible inputs for x we will get the outputs for y

The Option first is correct because

Taking possible values of x = 0

We will be getting the value of y = -2

y = 8(0)-2

y = 2

Similarly ,

x=1

y = 8(1)-2

y = 8-2

y =6

Now ,

x= 2

y = 8(2)-2

y =16-2

y =14

Hence for all the possible values of x we are getting the possible values of y as per the given equation

Hence the values are {(0, −2), (1, 6), (2, 14)} that represents as ordered pairs

Learn more about functions here

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