Question

the \if\ statement for each function rule sets limits on which variable?
the independent variable
the dependent variable
rewatch submit

Explanation:

In a function rule, the "if" statement (in piece - wise functions) is based on the values of the input variable. The input variable is the independent variable. For example, in a piece - wise function \(y=

$$\begin{cases}x + 1, &\text{if }x\geq0\\x - 1, &\text{if }x<0\end{cases}$$

\), the conditions in the "if" statements are on the value of \(x\) (the independent variable). The dependent variable \(y\) takes on values based on the rule corresponding to the value of the independent variable \(x\).

Answer:

The independent variable