The piecewise-function 𝑓(𝑥) has opposite expressions. 𝑓(𝑥)={2𝑥−1,𝑥<00,𝑥=0−2𝑥+1,𝑥>0Which is the graph of 𝑓(𝑥)
Question
The piecewise-function 𝑓(𝑥) has opposite expressions. 𝑓(𝑥)={2𝑥−1,𝑥<00,𝑥=0−2𝑥+1,𝑥>0Which is the graph of 𝑓(𝑥)
Solution
The graph of the function f(x) would be a straight line with a slope of 2 and y-intercept of -1 for x<0, a single point at (0,0) for x=0, and a straight line with a slope of -2 and y-intercept of 1 for x>0.
Here are the steps to graph the function:
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Draw a straight line with a slope of 2 and y-intercept of -1. This line should extend from the y-intercept to the left, stopping at x=0.
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Plot a single point at (0,0).
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Draw a straight line with a slope of -2 and y-intercept of 1. This line should extend from the y-intercept to the right, starting at x=0.
Remember, the lines for x<0 and x>0 should not cross the y-axis. The point at x=0 is the only part of the graph on the y-axis.
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