The domain of the function y = 2x is all real numbers.
To understand why, let’s break it down. The equation y = 2x describes a linear function, where y is equal to 2 the value of x. Since there are no restrictions on the values that x can take (it can be positive, negative, or zero), x can be any real number.
This means you can input any value into the equation and get a corresponding output for y. Therefore, the domain is expressed as:
- Domain: (-∞, +∞)
In summary, because there are no limitations on x, the domain encompasses all real numbers.