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 in terms of x to express the relation as a function.

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

5. State the domain in interval notation. The domain is the set of all real numbers.

Final Answer

Domain:(−∞,∞)

Want more problems? Check here!