Exam 6: Graphs

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.

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.

Make the graph of .Use a horizontal span of 0 to 100.

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.

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

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. ​

Make the graph of .Use a horizontal span of 0 to 0.9.

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?

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

Inflection points often occur where the graph of a function is increasing most rapidly.

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. ​

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. ​

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 ​ . 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.

A graph can show where a function is increasing.

Sketch a graph that is decreasing and concave down.

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?