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Determine the range of the following graph:​

Determine the range of the following graph:​-example-1
User Ejolly
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2 Answers

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The graph, with peaks in the 3rd and 1st quadrants, ranges from y = -6 to y = 7, showcasing its varied undulating pattern through multiple oscillations.

The graph described exhibits a wave-like pattern, starting at (-8, 4) and ending at (11, 3). Analyzing the given details, we can discern multiple oscillations. The initial ascent reaches a peak in the 3rd quadrant at (-8, -3), followed by a descent passing through (0, -6) and (3, 0). Subsequently, the graph ascends again, reaching a peak in the 1st quadrant at (8, 7). The final descent concludes at (11, 3).

To determine the range, we identify the highest and lowest y-values. The lowest point is at (0, -6), and the highest points are (8, 7) and (4, 4). Therefore, the range is R = y , encompassing the variation in y-values.

In summary, the graph undergoes multiple undulations, rising and falling through different quadrants. The range captures the fluctuation, extending from the lowest point at y = -6 to the highest points at y = 7 and y = 4.

User Mmar
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1 vote

Answer:

Range: -8 ≤ y ≤ 7.

Explanation:

The range is the possible set of all the y-values of the function represented on the graph.

To get the set of all y-values, find the least possible y-value of the function represented on the graph on the y-axis, and the highest y-value on the y-axis.

Taking a look at the given graph, the least possible value of y is equal to or less than -8, while the highest possible y-value is equal to or less than 7.

Therefore, range is [-8, 7]. This can be represented also as: -8 ≤ y ≤ 7.

User Stuart Nichols
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