Final answer:
The independent variable in the function f(x)=6x is "x" because it is the input that we can choose freely, while f(x) is the dependent variable, which is determined by the value of x.
Step-by-step explanation:
The independent variable in the function f(x)=6x is "x". When we are dealing with functions and equations, the independent variable is the value that we can choose freely. It is the input of the function, and here it is represented by x. The dependent variable, in this case f(x), is what we calculate or determine based on the independent variable. As for the constant "6", it is merely a coefficient that multiplies the independent variable but does not represent a variable itself.
In a graph of a function, the independent variable typically represents the x-axis while the dependent variable represents the y-axis. If you think about linear equations or the slope-intercept form y=mx+b, x is always the independent variable, while y is the dependent variable, which varies linearly with x.