In a function, which value is the independent variable?

In a function, which value is the independent variable?

• A. the rate of change
• B. x value in a function
• C. y value in a function
• D. the domain element associated with the range

Answer: (B)

The independent variable is the input value you choose, usually called x. In a function written as y = f(x), you pick an x from the domain, and the function gives you the corresponding output y. The domain is all the x-values for which the function is defined, and the y-values are the outputs, which depend on the chosen x. The rate of change describes how much y changes per unit change in x, not the variable itself, and the idea of a domain element associated with the range points to the connection between inputs and outputs rather than naming the independent variable. So the x value in a function is the independent variable.

The independent variable is the input value you choose, usually called x. In a function written as y = f(x), you pick an x from the domain, and the function gives you the corresponding output y. The domain is all the x-values for which the function is defined, and the y-values are the outputs, which depend on the chosen x. The rate of change describes how much y changes per unit change in x, not the variable itself, and the idea of a domain element associated with the range points to the connection between inputs and outputs rather than naming the independent variable. So the x value in a function is the independent variable.