Question

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.

Answer 1

9514 1404 393

Answer:

  see attached

Step-by-step 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.