How do you graph a piece wise function step by step

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

1. Determine the different intervals in which the function is defined and the equations that describe the function on each interval.

2. Plot each equation on its corresponding interval. For example, if the function is defined as f(x) = x for x < 0 and f(x) = x^2 for x ≥ 0, you would plot the line y = x for x < 0 and the parabola y = x^2 for x ≥ 0.

3. Make sure to accurately label the endpoints of each interval and any points of intersection between the different piecewise functions.

4. Connect the points from each piece of the function to create a continuous graph that represents the entire piecewise function.

5. If there are any restrictions or discontinuities in the function, be sure to add those to the graph as well.

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