Question

If $f$is a function defined by the equation $y=f\left(x\right)$, then $x$ is called the ____________ variable and y is the ____________ variable.

Short answer

If $f$is a function defined by the equation $y=f\left(x\right)$, then $x$ is called the independentvariable and $y$is the dependent variable.

Step-by-step solution

Step 1. Given information 

If $f$is a function defined by the equation $y=f\left(x\right)$, then $x$ is called the ____________ variable and y is the ____________ variable.

Step 2. The equation is y=f(x)

The domain variable $\left(x\right)$is referred to as the independent variable. The range variable $\left(y\right)$is referred to as the dependent variable. Usually function notation is used to represent a relation which is a function. Given that relation $"f"$is a function, it can be represented as $y=f\left(x\right)$(stated as $"y$equals $f$ at $x"$).

Step 3. In the given notation,

$x$ may be called the independent variable, and$y$ may be called thedependent variable.