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Which graph decreases, crosses the y-axis at (0,-7) and then remains constant?

Which graph decreases, crosses the y-axis at (0,-7) and then remains constant?-example-1

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Final answer:

The described graph shows a downward trend starting at (0,-7) on the y-axis followed by a constant horizontal line. This indicates a negative slope which flattens out to a slope of zero, representing a piecewise function with segments of decreasing and then constant values.

Step-by-step explanation:

The graph in question decreases, crosses the y-axis at the point (0,-7), and then remains constant. This graph will initially show a downward trend indicating a negative slope. At the y-intercept, it crosses the y-axis at the given point (0,-7). Further along the x-axis, the graph levels off and becomes a horizontal line indicating no change in the y-value; this is the constant portion of the graph.

The initial segment of the graph that decreases can be described by a line or curve with a negative slope starting from (0,-7). The constant portion is a horizontal line that has a slope of 0, indicating no change in the y-value as x increases. This combination is indicative of a piecewise function where the function first decreases and then levels off to become constant. An example can be understood from Figure 12.4 three possible graphs of y = a + bx, where if b < 0, the line slopes downward to the right (part (c)), and if b = 0, the line is horizontal indicating the constant portion of the graph (part (b)).

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