# Section 2 -2 Graphs

Business

Q 1Q 1

If we are given a horizontal span for the graph of a function, a table of values can help us choose a suitable vertical span for the graph.

Free

True False

True

Free

True False

True

Free

True False

False

Free

True False

Free

True False

Free

True False

Free

True False

Q 8Q 8

For a satellite orbiting Earth, the time required to complete a single orbit is known as the period.The period P, in hours, is related to the distance D, in miles, from the center of Earth by the formula . What happens to the distance as the period increases? A graph of D versus P can help you answer this question.
A) Distance increases as period increases.
B) Distance decreases as period increases.
C) Distance is at a maximum.
D) Concavity changes as the period increases.

Free

Multiple Choice

Q 9Q 9

For a satellite orbiting Earth, the time required to complete a single orbit is known as the period.The period P, in hours, is related to the distance D, in miles, from the center of Earth by the formula . As the period increases, so does the distance.What can you say about the rate of increase in distance as period increases? A graph of D versus P can help you answer this question.
A) Distance increases at an increasing rate as period increases.
B) Distance increases at a decreasing rate as period increases.
C) A point of inflection is reached.
D) None of the above.

Free

Multiple Choice

Q 10Q 10

The life expectancy E, in solar lifetimes, of certain stars depends on their mass M, in solar masses.The relationship is . How does the life expectancy of larger stars compare with that of smaller stars? A graph of E versus M can help you answer this question.
A) Larger stars live 2.5 times as long as smaller stars.
B) Larger stars have longer life expectancy.
C) Larger stars have shorter life expectancy.
D) All of the above.

Free

Multiple Choice

Q 11Q 11

The life expectancy E, in solar lifetimes, of certain stars depends on their mass M, in solar masses.The relationship is . As mass increases, life expectancy decreases.What can you say about the rate of decrease? A graph of E versus M can help you answer this question.
A) Life expectancy decreases at a decreasing rate.
B) Life expectancy decreases at an increasing rate.
C) Life expectancy reaches a point of inflection.
D) None of the above.

Free

Multiple Choice

Q 12Q 12

When a car skids to a stop, the length L, in feet, of the skid marks is related to the speed S, in miles per hour, of the car by the equation . As speed increases, so does the length of the skid marks.What can you say about the rate of increase? A graph of L versus S can help you answer this question.
A) Skid mark length increases more rapidly as speed increases.
B) Skid mark length increases rapidly at first but slows as speed increases.
C) Skid mark length increases at a decreasing rate.
D) None of the above.

Free

Multiple Choice

Q 13Q 13

The height h, in centimeters, of a sunflower d days after the seed emerges is given by . Use a graph to estimate the tallest the sunflower will ever be.
A) About 220.00 centimeters tall
B) About 11 centimeters tall
C) About 231.00 centimeters tall
D) About 221.40 centimeters tall

Free

Multiple Choice

Q 14Q 14

The amount M of mercury, in milligrams per deciliter, in the blood of a man eating contaminated food is given by , where t is the time in months since observation began.What is the limiting value of mercury in the bloodstream?
A) About 0.88 milligrams per deciliter
B) About 1.76 milligrams per deciliter
C) About 0.89 milligrams per deciliter
D) About 2.08 milligrams per deciliter

Free

Multiple Choice

Q 15Q 15

The concentration D of a drug, in milligrams per deciliter, in the blood t hours after an injection is given by .What is the eventual concentration of the drug in the blood?
A) About 4.07 milligrams per deciliter
B) About 8.68 milligrams per deciliter
C) About 4.61 milligrams per deciliter
D) 0 milligrams per deciliter

Free

Multiple Choice

Q 16Q 16

The amount A of adrenaline, in nanograms per liter, in a man's bloodstream t minutes after he has been frightened is given by . What is the eventual amount of adrenaline in the bloodstream?
A) About 4.09 nanograms per liter
B) About 1.28 nanograms per liter
C) About 5.37 nanograms per liter
D) 0 nanograms per liter

Free

Multiple Choice

Q 17Q 17

The amount A, in grams, of a radioactive substance remaining after t years is given by . What is the limiting value for the amount of the radioactive substance?
A) About 0.58 grams
B) About 12.00 grams
C) About 12.58 grams
D) 0 grams

Free

Multiple Choice

Q 18Q 18

Dye is being added to a liquid mixture.The amount A, in grams, of dye in the mixture after t minutes is given by . What is the total amount of dye that is added to the solution?
A) About 152.49 grams
B) About 162.00 grams
C) About 0.89 grams
D) 156.11 grams

Free

Multiple Choice

Free

Multiple Choice

Free

Multiple Choice

Q 21Q 21

Sales S, in thousands of dollars, t months after the beginning of the year are given by .
The formula is valid over a 12-month period.Over what period were sales increasing? A graph of S versus t can help you answer this question.
A) From month 3 to the end of the year
B) From month 6 to the end of the year
C) Over the first 3 months
D) Over the first 6 months

Free

Multiple Choice

Q 22Q 22

The population N, in thousands, of a certain city t years after 2000 is given by . The formula is valid over a 10-year period.Over what period was the population decreasing? A graph of N versus t can help you answer this question.
A) From 2003 to 2010
B) From 2004 to 2010
C) From 2000 to 2003
D) From 2000 to 2004

Free

Multiple Choice

Free

Essay

Free

Essay

Free

Essay

Free

Essay

Free

Essay

Free

Essay

Free

Essay

Free

Essay

Free

Essay

Free

Essay

Free

Essay

Free

Essay

Q 35Q 35

When a car skids to a stop, the length L, in feet, of the skid marks is related to the speed S, in miles per hour, of the car by the equation
.
Does an increase in speed have a greater effect on the length of the skid marks for a car going slow or for a car going fast? A graph of L versus S can help you answer this question.

Free

Essay

Q 36Q 36

For a satellite orbiting Earth, the time required to complete a single orbit is known as the period.The period P, in hours, is related to the distance D, in miles, from the center of Earth by the formula .
Does an increase in period have a greater effect on distance for a satellite with a longer period or for a satellite with a shorter period? A graph of D versus P can help you answer this question.

Free

Essay

Q 37Q 37

The life expectancy E, in solar lifetimes, of certain stars depends on their mass M, in solar masses.The relationship is .
Does an increase in mass have a greater effect on life expectancy for a larger star or a smaller star? A graph of E versus M can help you answer this question.

Free

Essay