Moderate exercise is better than none, but excessive exercise is harmful. What is the shape of the graph of health benefits versus hours of exercise per week if health benefits are measured on the vertical axis and exercise is measured on the horizontal axis?
a. a positively sloped straight line
b. a negatively sloped straight line
c. a vertical straight line
d. a U-shaped curve
e. a hill-shaped curve
QUESTION 2A straight line tangent to a curved line at a point
a. crosses the curved line at that point
b. crosses the curved line at many points
c. has the same slope as the curved line at that point
d. is steeper than the curve at all other points
e. has a smaller slope than all other points on the curve
QUESTION 3A line is tangent to a curve if it
a. crosses the curve at one point
b. touches the curve at one point, without crossing it
c. crosses the curve at a minimum of two points
d. never touches the curve
e. forms a right triangle with the curve
QUESTION 4A curved line may have a positive slope or a negative slope, but it cannot have both positive and negative areas of slope.
a. True
b. False
QUESTION 5The slope of an inverted U-shaped curve is infinity at the top of the curve.
a. True
b. False
QUESTION 6The slope of a U-shaped curve is infinity at the bottom of the U.
a. True
b. False
QUESTION 7A U-shaped curve has a positive slope everywhere.
a. True
b. False
QUESTION 8If slope = 2 for a line on a graph with x on the horizontal axis and y on the vertical axis, then if
a. x decreases by 4, y decreases by 8
b. x = -4, then y = -2
c. y decreases by 4, x decreases by 8
d. x = -4, y = -8
e. x increases by 4, y decreases by 8
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