Question

Find the range of the function y = 7x-1 when the domain is (-1.0, 1).​

Answer 1

Answer: {-8, -1, 6}

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Step-by-step explanation:

Domain = set of possible x inputs

Range = set of possible y outputs

If x = -1, then y is...

y = 7x-1

y = 7(-1)-1

y = -7-1

y = -8

The domain input value x = -1 leads to the output value y = -8 in the range.

Repeat for x = 0 to get y = -1

Repeat for x = 1 to get y = 6

If the domain is {-1, 0, 1} then the range is {-8, -1, 6}

It might help to make a table of values

`\begin{array}c \cline{1-2}\text{x} & \text{y}\\\cline{1-2}-1 & -8\\\cline{1-2}0 & -1\\\cline{1-2}1 & 6\\\cline{1-2}\end{array}`

Though that step is optional.