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find the range of the function y = 7x - 1 when the domain is {-1, 0 1}

Respuesta :

IraPo
The domain is all the values that x is allowed to take on. So {-1, 0, 1} is for x.
If x takes all values in the set {-1, 0, 1} then 7x - 1 takes all values in the set {7·(-1) -1, 7·0 - 1, 7·1 - 1} and the range of the given function is  {-8, - 1, 6} .

The answer is:  {-8, - 1, 6} .

Answer:

Range: {-8;-1;6}

Step-by-step explanation:

The domain of a function is the set of all the values for which the function is defined (x-axis).

The range of a function is the set of all the values that f takes (Y-axis).

To calculate the range we must observe what value the function takes when entering the values for which it is defined (the domain).

In this case, those values are:

{-1,0,1}

[tex]y= 7(-1)-1\\ y= -7-1\\ y=-8[/tex]

[tex]y= 7(0)-1\\ y= -1[/tex]

[tex]y= 7(1)-1\\ y= 7-1\\ y=6[/tex]

Range: {-8;-1;6}

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