Exam 6: Graphs

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. ​

Make the graph of .Use a horizontal span of 0 to 5.

Make the graph of .Use a horizontal span of 0 to 10.

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. ​

Make the graph of .Use a horizontal span of 0 to 5.

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?

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?

Make the graph of .Use a horizontal span of 0 to 5.

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. ​

Sketch a graph that is increasing and concave down.

Concavity can be discerned from a table of values but not from a graph.

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.

A graph of a function can show limiting values if they exist.

Make the graph of .Use a horizontal span of -5 to 5.

Which of the following is the graph of on a horizontal span of 0 to 4.5?

Make the graph of .Use a horizontal span of 0 to 5.

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.

A graph of a function that is decreasing at a decreasing rate is concave down.

Make the graph of .Use a horizontal span of 0 to 3.

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?