Find the Domain y=-1/2x-2

Problem

y=−1/2*x−2

Solution

1. Identify the type of function provided. The expression y=−1/2*x−2 is a linear function.

2. Determine if there are any restrictions on the input variable x Restrictions typically occur in fractions where the denominator cannot be zero, or in square roots where the radicand must be non-negative.

3. Observe that the variable x is in the numerator (it can be written as y=−x/2−2. There are no denominators containing x and no radical signs.

4. Conclude that since any real number can be substituted for x to produce a real value for y the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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