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| Section | Objectives |
|---|---|
| Topic 1: Exponential Functions | - Interpret rates of change for exponential functions - Interpret inputs and outputs for exponential functions - Interpret concavity for exponential functions |
| Topic 2: Graphical Depictions | - Interpret rates of change for situations - Interpret concavity for situations - Interpret inputs and outputs for situations - Interpret asymptotes for situations - Interpret maximum and minimum for situations |
| Topic 3: Polynomial Functions | - Interpret concavity for polynomial functions - Interpret inputs and outputs for polynomial functions - Interpret rates of change for polynomial functions |
| Topic 4: Logistic Functions | - Interpret rates of change for logistic functions - Interpret inputs and outputs for logistic functions - Interpret asymptotes for logistic functions |
| Topic 5: Functions and Algebra of Functions | - Derive conclusions based on notation - Derive conclusions based on graphs - Derive conclusions based on data |
| Topic 6: Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Topic 7: Validity of Models | - Examine utility - Determine validity - Determine fit |
1. The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.
Which town's population is growing at a faster rate?
A) Town B, because 6.5 > 5.5
B) Town A, because 1.3 > 1.1
C) Town A, because 6.5 > 5.5
D) Town B, because 1.3 > 1.1
2. 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
3. The data in the scatterplot represents the number of monthly train crossings at a particular intersection over time.
Which type of function should be used to model the data?
A) Polynomial
B) Linear
C) Exponential
D) Logistic
4. The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.
Which town's population is growing at a faster rate?
A) Town B, because 6.5 > 5.5
B) Town A, because 6.5 > 5.5
C) Town B, because 1.0 > 0.7
D) Town A, because 1.0 > 0.7
5. The graph shows the estimated wait time, in minutes, based on the number of hours after 7:00 a.m.
What is the average rate of change of the wait time from point Ato point B?
A) 77.25
B) 11.04
C) -23.3
D) -5.83
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: D | Question # 3 Answer: C | Question # 4 Answer: D | Question # 5 Answer: D |
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