Exam 3: Functions Given by Graphs

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The graph below shows the growth rate G, in water fleas per day, of a population of water fleas as a function of the population size N.Calculate the average rate of change in G from 130 to 160 water fleas. ​ The graph below shows the growth rate G, in water fleas per day, of a population of water fleas as a function of the population size N.Calculate the average rate of change in G from 130 to 160 water fleas. ​   ​

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A

The graph below shows the maximum angle above the horizon reached by the moon during the month of June.On what day does the smallest maximum angle occur, and what is that angle? ​ The graph below shows the maximum angle above the horizon reached by the moon during the month of June.On what day does the smallest maximum angle occur, and what is that angle? ​   ​

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The graph below shows the numbers, in thousands, of men and women of a given height in a population.What are the most common heights for men and for women? ​ The graph below shows the numbers, in thousands, of men and women of a given height in a population.What are the most common heights for men and for women? ​   ​

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Below is a graph of a function Below is a graph of a function   .Over what region(s) is the function decreasing? ​ ​   ​ ​ ​ .Over what region(s) is the function decreasing? ​ ​ Below is a graph of a function   .Over what region(s) is the function decreasing? ​ ​   ​ ​ ​ ​ ​ ​

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A decreasing graph is always concave down.

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The graph below shows the maximum angle above the horizon reached by the moon during the month of June.What was the average rate of change in the maximum angle from June 8 to June 14? ​ The graph below shows the maximum angle above the horizon reached by the moon during the month of June.What was the average rate of change in the maximum angle from June 8 to June 14? ​   ​ ​ ​ ​

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The graph of a function that is decreasing at a decreasing rate is decreasing and concave up.

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Which of the following stories best fits the graph below? Which of the following stories best fits the graph below?

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The graph below shows the atmospheric pressure, in millibars of mercury, as a function of altitude in meters.According to the graph, which of the following sentences best describes the relationship between pressure and altitude? ​ The graph below shows the atmospheric pressure, in millibars of mercury, as a function of altitude in meters.According to the graph, which of the following sentences best describes the relationship between pressure and altitude? ​   ​ ​ ​ ​ ​ ​

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Below is a graph of a function Below is a graph of a function   .At what value of x does f reach its maximum value, and what is that value? ​   ​ ​ .At what value of x does f reach its maximum value, and what is that value? ​ Below is a graph of a function   .At what value of x does f reach its maximum value, and what is that value? ​   ​ ​ ​ ​

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Below is a graph of a function Below is a graph of a function   .Find the largest value of x so that   . ​   ​ ​ .Find the largest value of x so that Below is a graph of a function   .Find the largest value of x so that   . ​   ​ ​ . ​ Below is a graph of a function   .Find the largest value of x so that   . ​   ​ ​ ​ ​

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Below is a graph of a function Below is a graph of a function   .What is the limiting value for f?   ​ ​ .What is the limiting value for f? Below is a graph of a function   .What is the limiting value for f?   ​ ​ ​ ​

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Below is a graph of a function Below is a graph of a function   .Find the average rate of change in f from 4 to 10 . ​   ​ ​ .Find the average rate of change in f from 4 to 10 . ​ Below is a graph of a function   .Find the average rate of change in f from 4 to 10 . ​   ​ ​ ​ ​

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Choose the answer that best completes the following sentence.A graph that is decreasing and concave up represents a function that is ...

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A graph that is concave up represents a function that is increasing.

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Which of the following stories best fits the graph below? ​ Which of the following stories best fits the graph below? ​   ​

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The graph below shows the atmospheric pressure P, in millibars of mercury, as a function of altitude A in meters.According to the graph, what is the approximate value of the solution for A of the equation The graph below shows the atmospheric pressure P, in millibars of mercury, as a function of altitude A in meters.According to the graph, what is the approximate value of the solution for A of the equation   ? ​   ​ ​ ​ ? ​ The graph below shows the atmospheric pressure P, in millibars of mercury, as a function of altitude A in meters.According to the graph, what is the approximate value of the solution for A of the equation   ? ​   ​ ​ ​ ​ ​ ​

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Below is a graph of a function Below is a graph of a function   .Over what region(s) is the graph concave up? ​ ​   ​ ​ ​ .Over what region(s) is the graph concave up? ​ ​ Below is a graph of a function   .Over what region(s) is the graph concave up? ​ ​   ​ ​ ​ ​ ​ ​

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The graph of a function that is increasing at an increasing rate is increasing and concave up.

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Below is a graph of a function Below is a graph of a function   .At what value of x does the point of inflection occur? ​   ​ ​ ​ .At what value of x does the point of inflection occur? ​ Below is a graph of a function   .At what value of x does the point of inflection occur? ​   ​ ​ ​ ​ ​ ​

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