Find the Domain 2x+4y=4

Problem

2*x+4*y=4

Solution

1. Identify the type of equation. The equation 2*x+4*y=4 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 relation as a function.

4*y=−2*x+4

y=−1/2*x+1

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

4. Determine if there are any restrictions. 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 linear function (that is not a vertical line) is all real numbers.

Final Answer

Domain: *(−∞,∞)

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