Find the Domain x-2y=8

Problem

x−2*y=8

Solution

1. Identify the type of equation. The equation x−2*y=8 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y to express the equation in slope-intercept form. Subtract x from both sides and then divide by −2

−2*y=−x+8

y=1/2*x−4

3. Analyze the resulting function ƒ(x)=1/2*x−4 This is a polynomial function of degree 1.

4. Determine the constraints on the input variable x Since there are no denominators containing x no square roots of negative numbers, and no logarithms, x can be any real number.

5. State the domain in interval notation. The domain of any non-vertical linear function is the set of all real numbers.

Final Answer

Domain:(−∞,∞)

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