The function f(x) = 2x + 4 is a linear function, which means it is represented by a straight line when graphed on a coordinate plane.
Domain: The domain of a function refers to all the possible input values (x-values) that can be used in the function. For the function f(x) = 2x + 4, there are no restrictions on the value of x. It can take any real number. Therefore, the domain is all real numbers, which can be expressed in interval notation as:
Domain: (-∞, +∞)
Range: The range of a function encompasses all the possible output values (y-values) resulting from the function when the domain is applied. Since f(x) = 2x + 4 is a linear function with a non-zero slope (2), it will cover all real numbers as x varies. Thus, as x approaches infinity, f(x) also approaches infinity, and as x approaches negative infinity, f(x) approaches negative infinity as well. Hence, the range is also all real numbers, which can be expressed as:
Range: (-∞, +∞)