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| Section | Objectives |
|---|---|
| Exponential Functions | - Interpret inputs and outputs for exponential functions - Interpret rates of change for exponential functions - Interpret concavity for exponential functions |
| Graphical Depictions | - Interpret asymptotes for situations - Interpret maximum and minimum for situations - Interpret concavity for situations - Interpret rates of change for situations - Interpret inputs and outputs for situations |
| Validity of Models | - Determine fit - Examine utility - Determine validity |
| Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Logistic Functions | - Interpret rates of change for logistic functions - Interpret inputs and outputs for logistic functions - Interpret asymptotes for logistic functions |
| Polynomial Functions | - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions - Interpret inputs and outputs for polynomial functions |
| Functions and Algebra of Functions | - Derive conclusions based on data - Derive conclusions based on notation - Derive conclusions based on graphs |
1. The function p(t)represents the number of active players, p, in a game thours after 11:00 a.m. The graph of p(t) is shown.
What is one example of an interval for which the number of players is decreasing faster and faster?
A) t=8.7to t=10.7
B) t=1.2to t=5.3
C) t=8.6to t=9.0
D) t=11.2to t=11.5
2. The spread of two viruses within a single population is modeled using the functions in the graph.
What is a correct conclusion based on the graph?
A) Virus B affects 80%of the population before virus A does.
B) Virus B affects 20%of the population before virus A does.
C) Virus B affects 60%of the population before virus A does.
D) Virus B affects 70%of the population before virus A does.
3. The graph shows the number of books, N, checked out from a library each week. The number of weeks since the beginning of the year is on the horizontal axis, and the number of books checked out per week is on the vertical axis. Point A represents 165 books checked out in the first week, or N(0)=165. Which statement represents an accurate conclusion?
Exhibit:
A) Point D represents N(8.4)=142.5.
B) Point B represents N(2.8)=177.
C) Point E represents N(11.2)=147.5.
D) Point C represents N(5.6)=152.5.
4. A cart is being loaded with boxes, and each box has the same weight. After 4 boxes are loaded, the total weight of the boxes and cart is 116 pounds. After 9 boxes are loaded, the total weight is 161 pounds.
What is the weight of each box?
A) 80 pounds
B) 18 pounds
C) 9 pounds
D) 29 pounds
5. The scatterplot shows data on the popularity of a blog post over time. The graphed regression function has an r2value of 0.42.
Is it appropriate to make a prediction for the number of daily blog post views after 12.4 days?
A) Yes. The r2value indicates a strong fit, and x=12.4 is within 50% of the range of the maximum value.
B) Yes. The r2value indicates a moderate fit, and x=12.4 is within 25% of the range of the maximum value.
C) No. The r2value indicates a strong fit, but x=12.4 is more than 50% of the range beyond the maximum value.
D) No. The r2value indicates a moderate fit, but x=12.4 is more than 25% of the range beyond the maximum value.
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: B | Question # 3 Answer: B | Question # 4 Answer: C | Question # 5 Answer: D |
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