Linear Function Analysis: Determining Decreasing Behavior from Graph

Is the function shown in the graph below decreasing?

yx

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1

Understand the problem

Is the function shown in the graph below decreasing?

yx

2

Step-by-step solution

The graph presented is a straight line. To determine whether the function is decreasing, we need to examine the slope of this line.

The line has a negative slope, as it moves downward from left to right. A function is considered decreasing when its slope is negative.

In formal terms, for a linear function expressed as y=mx+c y = mx + c , if the slope m m is negative, the function is decreasing over its entire domain.

From the graph, it's evident that the line has a negative slope, thus indicating that the function is indeed decreasing.

Therefore, the answer to the problem is Yes.

3

Final Answer

Yes

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Is the function in the graph decreasing? yx

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