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If the function 5x + y = 1 has the domain {-2, 1, 6}, then what is the corresponding range?

User Ectropy
by
7.8k points

2 Answers

5 votes

Answer:

{ 11, -4, -29}

Explanation:

5(-2) + y = 1

-10 + y = 1

y = 11

5(1) + y = 1

y = -4

5(6) + y = 1

30 + y = 1

y = -29

User Davebowker
by
8.2k points
4 votes

Answer:

The Range is the set: { -29, -4, 11 }

Explanation:

You need to apply the given function to the x-values of the Domain, to find what values of the Range they are associated with. So let's start by isolating y on one side of the expression:

y = 1 - 5 x

Now let's find what values they result when x = -2, 1, and 6:

y = 1 - 5 (-2) = 1 + 10 = 11

y = 1 - 5 (1) = 1 - 5 = -4

y = 1 - 5 (6) = 1 - 30 = -29

Therefore the Range is the set: { -29, -4, 11 }

User Mei Zhang
by
8.7k points

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