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| Section | Objectives |
|---|---|
| Topic 1: Polynomial Functions | - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions - Interpret inputs and outputs for polynomial functions |
| Topic 2: Logistic Functions | - Interpret inputs and outputs for logistic functions - Interpret asymptotes for logistic functions - Interpret rates of change for logistic functions |
| Topic 3: Functions and Algebra of Functions | - Derive conclusions based on data - Derive conclusions based on graphs - Derive conclusions based on notation |
| Topic 4: Graphical Depictions | - Interpret asymptotes for situations - Interpret inputs and outputs for situations - Interpret maximum and minimum for situations - Interpret rates of change for situations - Interpret concavity for situations |
| Topic 5: Validity of Models | - Examine utility - Determine fit - Determine validity |
| Topic 6: Exponential Functions | - Interpret rates of change for exponential functions - Interpret inputs and outputs for exponential functions - Interpret concavity for exponential functions |
| Topic 7: Linear Functions | - Interpret inputs and outputs of linear functions - Interpret rates of change for linear functions |
1. The number of letters processed daily at a mail center is modeled by the decreasing exponential function shown in the graph.
Which value is the number of letters processed per day trending toward as time progresses, based on the equation of the horizontal asymptote?
A) 8,500
B) 2,500
C) 4,250
D) 17
2. The graph shows functions modeling the spread of two diseases within the same population.
Which conclusion is valid?
A) Disease B affects 20% of the population before Disease A does.
B) Disease B affects 50% of the population before Disease A does.
C) Disease B affects 40% of the population before Disease A does.
D) Disease B affects 70% of the population before Disease A does.
3. The scatterplot shows data on the number of visitors to a resort each week since opening. A regression function is graphed with r^2=0.99. The predicted number of visitors after 16.4weeks is 38.6.
Is this prediction appropriate?
A) No. The r^2value indicates a moderate fit, but x=16.4is more than 25%of the range beyond the maximum value.
B) Yes. The r^2value indicates a moderate fit, and x=16.4is within 25%of the range of the maximum value.
C) No. The r^2value indicates a strong fit, but x=16.4is more than 50%of the range beyond the maximum value.
D) Yes. The r^2value indicates a strong fit, and x=16.4is within 50%of the range of the maximum value.
4. A researcher collected data on the traffic frequency on a section of road. The results are shown in the scatterplot. A regression function is graphed with r^2=0.96. The predicted traffic frequency 16.2 hours after dawn is 70 cars per minute.
Is this prediction appropriate?
A) No. The r^2value indicates a strong fit, but x=16.2is more than 50%of the range beyond the maximum value.
B) Yes. The r^2value indicates a strong fit, and x=16.2is within 50%of the range of the maximum value.
C) Yes. The r^2value indicates a moderate fit, and x=16.2is within 25%of the range of the maximum value.
D) No. The r^2value indicates a moderate fit, but x=16.2is more than 25%of the range beyond the maximum value.
5. The figure displays the graphs of two functions representing the heights, h_1and h_2, in feet, of two balls tseconds after being launched.
Which ball was lower 0.9seconds after being launched?
A) Ball 1, because the height of ball 1 is less than the height of ball 2 at t=0.9.
B) Ball 2, because the height of ball 2 is less than the height of ball 1 at t=0.9.
C) Ball 2, because the height of ball 1 is less than the height of ball 2 at t=0.9.
D) Ball 1, because the height of ball 2 is less than the height of ball 1 at t=0.9.
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: D | Question # 3 Answer: C | Question # 4 Answer: B | Question # 5 Answer: A |
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