Find the Domain 2x-6y=6

Problem

2*x−6*y=6

Solution

1. Identify the type of equation. The equation 2*x−6*y=6 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y in terms of x to express the equation as a function.

−6*y=−2*x+6

y=(−2*x+6)/(−6)

y=1/3*x−1

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

4. Determine the restrictions. Since there are no denominators containing x no square roots of negative numbers, and no logarithms, the function is defined for all real numbers.

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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