Sketch a graph of the function. Use transformations of functions whenever possib

Emily-Jane Bray 2021-09-19 Answered

Sketch a graph of the function. Use transformations of functions whenever possible.
\(f(x)=\begin{cases}1-x & if & x<0 \\1 & if & x\geq0\end{cases}\)

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Expert Answer

bahaistag
Answered 2021-09-20 Author has 22756 answers

Step 1
Function is defined partially on intervals.
When \(\displaystyle{x}{<}{0}\), funktion is linear, so create table of values and graph a line through two points:
\(\begin{array}{|c|c|}\hline x & f(x) \\ \hline -2 & 3 \\ \hline -1 & 2 \\ \hline \end{array}\)
When \(\displaystyle{x}\geq{0}\) , function is constant, so graph horizontal line \(\displaystyle{y}={1}\).
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