Question

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Explanation:

Step1: Analyze the equation \(-x + 2 = 0\)

Solve for \(x\): \(-x=-2\), so \(x = 2\). This is a vertical line at \(x = 2\).

Step2: Determine the domain

For a vertical line \(x = 2\), the \(x\)-value is always 2. So the domain is the set containing only 2, which matches option A.

Step3: Determine the range

A vertical line \(x = 2\) extends infinitely up and down the \(y\)-axis. So the \(y\)-values can be any real number. In interval notation, the range of all real numbers is \((-\infty, \infty)\), so we choose option A for the range and use this interval.

Answer:

Domain:

A. The domain is a value or list of distinct values, \(\{2\}\)

Range:

A. The range in interval notation is \((-\infty, \infty)\)