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A. Graph the function and identify its domain and range. Write your answers as inequalities.

The domain is ___ and the range is ___

B. Interpret the slope and the d-intercept of the graph.
The d-intercept means that there were __ inches of snow on the ground at the start of the storm and the slope means that ___ inches of snow falls every hour during the storm.

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Final answer:

The domain and range of the function described are both all real numbers. The slope of the line is 3, representing 3 inches of snow increase per hour, and the d-intercept (y-intercept) is 9, implying 9 inches of snow at the start of the storm.

Step-by-step explanation:

When graphing the function described in Figure A1, we would see a straight line intercepting the y-axis at 9 and having a slope of 3. The domain of this function is all real numbers, because there is no restriction on the x-values for a straight line, so we write this as x can be any real number. The range is also all real numbers since the line will continue infinitely in both directions along the y-axis, which is written as y can be any real number.

The slope of the line is the rate of change of y with respect to x, which in this case is 3, indicating that for every one unit increase in x, y increases by 3 units. The d-intercept, commonly known as the y-intercept, is 9, indicating that when x=0, y is 9. Thus, interpreting this information in the context of a snowstorm, the y-intercept means that there were 9 inches of snow on the ground at the start of the storm and the slope means that 3 inches of snow falls every hour during the storm.

User Daniel Egeberg
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