Question

find the rule that describes the piecewise - defined function.
write the rule for the function. select the correct choice below and fill in the answer boxes to complete your choice. (type an exact answer, using radicals as needed. do not factor. type integers or simplified fractions.)
a. $f(x)=\begin{cases}square&\text{if }xgeqsquare\square&\text{if }xb. $f(x)=\begin{cases}square&\text{if }xc. $f(x)=\begin{cases}square&\text{if }xleqsquare\square&\text{if }squareleq xleqsquareend{cases}$

Explanation:

Step1: Analyze the graph

The graph has a horizontal line \(y = 1\) for \(x\geq1\) and a horizontal line \(y = 0\) for \(x<1\).

Step2: Write the piece - wise function

Based on the above analysis, the piece - wise function is \(f(x)=

$$\begin{cases}1&\text{if }x\geq1\\0&\text{if }x < 1\end{cases}$$

\)

Answer:

A. \(f(x)=

$$\begin{cases}1&\text{if }x\geq1\\0&\text{if }x < 1\end{cases}$$

\)