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O GRAPHS AND FUNCTIONSGraphing a piecewise-defined function: Problem type 1

O GRAPHS AND FUNCTIONSGraphing a piecewise-defined function: Problem type 1-example-1

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Answer:

Step-by-step explanation:

To get the plot of h(x), we just plot the given values of y at the given values of x.

For example, we are told that between x = -3.5 and -2.5, h(x) = -3. Therefore, the plot gives

The hollow circle tells us that the value x = -3.5 itself is not included. The solid circle tells us that x = -.2.5 is included. All this comes from the fact that the interval given is -3.5 < x ≤ -2.5.

Using the same method for other entries on the graph, we get our desired plot.

O GRAPHS AND FUNCTIONSGraphing a piecewise-defined function: Problem type 1-example-1
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