Some students reported how many pets they had. The dot plot shows the data collected: A dot plot is titled Students Pets and lab
eled Number of Pets. The values on the horizontal line are 0, 1, 2, 3, and 4. There are 5 dots above 0, 4 dots above 1, 3 dots above 2, 2 dot above 3, and 1 dot above 4. What do the dots above the number 3 indicate? There are exactly 2 students with 3 pets. There are exactly 3 students with 2 pets. There are exactly 2 students with more than 3 pets. There are exactly 3 students with more than 2 pets.
2 answers:
A dot plot is similar to histogram wherein they show the frequency of data. In this kind of plot, instead of bars, dots are stacked on their corresponding bin. The bins here are the number of pets, while the dots are the students. So, the 2 dots above number 3 signifies that, there are two students with three pets. The answer is A.
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The x-intercepts of the piecewise function are 1.59 and 17 and the intervals where g(x) is positive are (-2,0) and [2,17)
<h3>The graph of the function</h3>The piecewise function is given as:
See attachment for the graph of the piecewise function.
<h3>The x-intercepts of the piecewise function</h3>This is the point where the piecewise function crosses the x-axis.
From the attached graph, the graph crosses the x-axis at x = -2, x = 0 and x = 17
Hence, the x-intercepts of the piecewise function are -2, 0 and 17
<h3>The intervals where g(x) is positive</h3>This is the range of x value where g(x) > 0
From the attached graph, g(x)> 0 between x = -2 & x = 0 and between x = 2 (inclusive) & x = 17
Hence, the intervals where g(x) is positive are (-2,0) and [2,17)
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