Exam 1: Appendix: Understanding Graphs

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The slope of a U-shaped curve is infinity at the bottom of the U.

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A line is tangent to a curve if it

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Exhibit 1-8 Exhibit 1-8   -The slope of a horizontal line is -The slope of a horizontal line is

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Exhibit 1-6 Exhibit 1-6   -The slope of a line is defined as the -The slope of a line is defined as the

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Exhibit 1-16 Exhibit 1-16           -Refer to Exhibit 1-16. Which graph illustrates a positive relationship between variable X and variable Y initially but then a negative relationship? Exhibit 1-16           -Refer to Exhibit 1-16. Which graph illustrates a positive relationship between variable X and variable Y initially but then a negative relationship? Exhibit 1-16           -Refer to Exhibit 1-16. Which graph illustrates a positive relationship between variable X and variable Y initially but then a negative relationship? Exhibit 1-16           -Refer to Exhibit 1-16. Which graph illustrates a positive relationship between variable X and variable Y initially but then a negative relationship? Exhibit 1-16           -Refer to Exhibit 1-16. Which graph illustrates a positive relationship between variable X and variable Y initially but then a negative relationship? -Refer to Exhibit 1-16. Which graph illustrates a positive relationship between variable X and variable Y initially but then a negative relationship?

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The slope of a steep upward-sloping line is a smaller value than the slope of a nearly flat upward-sloping line.

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A curved line may have a positive slope or a negative slope, but it cannot have both positive and negative areas of slope.

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Suppose the cost of producing copper tubing is $1 per foot. If production costs were measured on the vertical axis and quantity of copper tubing were measured on the horizontal axis, which of the following lines would have the smallest slope?

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A U-shaped curve has a positive slope everywhere.

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If the dependent variable Y is directly related to the independent variable X, this means that changes in X cause changes in Y.

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The statement that there is a direct relation between x and y means that

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Exhibit 1-2 Exhibit 1-2   -In Exhibit 1-2, at x = 12, the -In Exhibit 1-2, at x = 12, the

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Exhibit 1-14 Exhibit 1-14   -Using Exhibit 1-14, calculate the slope of the curve where x equals 50. -Using Exhibit 1-14, calculate the slope of the curve where x equals 50.

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On a graph, the origin represents

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The slope of an inverted U-shaped curve is infinity at the top of the curve.

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Exhibit 1-7 Exhibit 1-7   -The slope of the straight line in Exhibit 1-7 is -The slope of the straight line in Exhibit 1-7 is

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If slope = -2 for a line on a graph with x on the horizontal axis and y on the vertical axis, then if

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The statement that there is an inverse relationship between x and y means that

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Exhibit 1-5 Exhibit 1-5   -In Exhibit 1-5, curve B has a __________ slope that is __________ at every point. -In Exhibit 1-5, curve B has a __________ slope that is __________ at every point.

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A functional relationship exists between two variables if the value of one variable depends on the value of the other variable.

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