Problem 54 of 7
Describe the graph of piecewise linear function f(x)=-x+3 for x<=1; f(x)=x+2 for x>1.
Hints
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choose correct rule on each interval.
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Piecewise rule must specify linear pieces and intervals.
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Correct
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Solution
Walkthrough
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1. Choose the rule for each interval.
2. Graph or describe each line only on its interval.
3. Apply open or closed endpoint rules at boundaries.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Applying one rule to every interval.