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Given the graph, match the following characteristics of the graph below. Please assume that there are arrows on the end of this absolute value graph.

Given the graph, match the following characteristics of the graph below. Please assume-example-1
User Manuel Darveau
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Answer:

see attached

Explanation:

The domain is the horizontal extent. Since there are arrows on both ends of the graph, the horizontal extent is from -∞ to ∞.

The range is the vertical extent. The graph shows a minimum at y=-2, which value is in the range. Expressed in interval notation, it is [-2, ∞).

Please note that the "end behavior" of y tends to +∞ in for either direction of x.

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The graph is "increasing" where it has positive slope, for 3 < x. It is "decreasing" where it has negative slope, for x < 3.

The graph is positive where it is above the x-axis. The points on the x-axis are not part of the "positive" interval(s). You will note there are two intervals where the graph is positive. It isn't difficult to find the answer choice that is a union of two intervals.

The graph is negative where hit is below the x-axis. Again, the points at x=1 and x=5 are not part of that interval, so it is expressed using curved brackets.

Given the graph, match the following characteristics of the graph below. Please assume-example-1
User Furkle
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