Answer:
Initially, as x increases, y is constant.
Afterward, the slope of the graph of the function equals 2 for all x between x = 3 and x = 5.
The slope of the graph equals -1 for x between x = 5 and x = 9.
The greatest value of y is y = 4, and it occurs when x = 5.
Step-by-step explanation:
Initially, the graph of the function is flat. The quantity y remains constant as x increases from x = 0 to x = 3. The linear equation that corresponds to the function in that region is y = 0. The slope is m = 0 because the graph is a horizontal line. The graph of the function starts to increase starting at x = 3. The slope, rise/run, once we solve it, is equal to 2 for when x is between 3 and 5. After x = 5, y starts to decrease as x increases. The slope of the graph between x = 5 and x = 9 is -1. The maximum value of y occurs at the top of the bump in the graph. The coordinates of the top of the bump are (5,4). Therefore, the maximum value is y = 4, and it occurs when x = 5.
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