Chapter 2.1, Problem 12AYU

To determine

Whether the statement “the independent variables are referred sometimes as the argument of the function ” is true or false.

Answer to Problem 12AYU

True, the independent variables are referred sometimes as the argument of the function, .

Explanation of Solution

Consider two sets A and B . If each element $x$ in the set A has exactly one element $y$ in the set B, the relation between them is known as a function. The ordered pair is $\left(x,y\right)$ .

The values of first coordinate $x$ is known as input values and the values of second coordinate $y$ is known as output values of a function.

For each random value of $x$ , the variable $y$ will give a different value.

So, value of $y$ is dependent on each value of $x$ .

Therefore, for the equation $y=f\left(x\right)$ related to a function $f$ , $x$ is independent variable and $y$ is dependent variable.