What is the range of the function $2x + y = 7$ if the domain is (-4, -2, 0, 5, 7)?

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Answer 1 · 2017-01-14T23:31:45

$(-7,-3,7,11,15)$

Since it is not clear which the independent variable is, we will assume that the function is

$y(x) = 7 - 2x$ and NOT $x(y) = (7-y)/2$

In this case, simply evaluate the function at each $x$ value of the domain:

$y(-4) = 15$
$y(-2) = 11$
$y(0) = 7$
$y(5) = -3$
$y(7) = -7$

Therefore, the range is $(-7,-3,7,11,15)$ .

What is the range of the function 2x + y = 72x + y = 7 if the domain is (-4, -2, 0, 5, 7)?