Algebra-1

From the graph, we can see that this is a gradually decreasing line.

End Behavior of a Gradually Decreasing Linear Function

A linear function can be written as y = mx + b, where m is the slope. In this case, since the function is gradually decreasing, the slope m is negative.

Analysis of End Behavior

1.As :

As x approaches negative infinity, the y-values increase because you are moving leftward along the graph. The line will rise towards positive values.

Thus, as .

2.As :

As x approaches positive infinity, the y-values continue to decrease.

Therefore,

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