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Last Updated: Aug 16, 2026
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| Section | Objectives |
|---|---|
| Topic 1: Logistic Functions | - Interpret inputs and outputs for logistic functions - Interpret rates of change for logistic functions - Interpret asymptotes for logistic functions |
| Topic 2: Polynomial Functions | - Interpret concavity for polynomial functions - Interpret inputs and outputs for polynomial functions - Interpret rates of change for polynomial functions |
| Topic 3: Linear Functions | - Interpret inputs and outputs of linear functions - Interpret rates of change for linear functions |
| Topic 4: Exponential Functions | - Interpret concavity for exponential functions - Interpret rates of change for exponential functions - Interpret inputs and outputs for exponential functions |
| Topic 5: Graphical Depictions | - Interpret maximum and minimum for situations - Interpret inputs and outputs for situations - Interpret asymptotes for situations - Interpret concavity for situations - Interpret rates of change for situations |
| Topic 6: Functions and Algebra of Functions | - Derive conclusions based on graphs - Derive conclusions based on notation - Derive conclusions based on data |
| Topic 7: Validity of Models | - Determine fit - Determine validity - Examine utility |
1. Which statement correctly interprets u(8), given that u(t)=0.21t
3
#4.09t
2
+18.89t+69.5 represents the number of units, u, in an inventory warehouse t hours after 9:00 a.m.?
A) There are approximately 160 units in the inventory at 10:00 a.m.
B) There are approximately 160 units in the inventory at 5:00 p.m.
C) There are approximately 66 units in the inventory at 10:00 a.m.
D) There are approximately 66 units in the inventory at 5:00 p.m.
2. 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 1.6 > 0.9
B) Town A, because 1.6 > 0.9
C) Town B, because 8.0 > 6.5
D) Town A, because 8.0 > 6.5
3. An exponential growth function can be used to model the number of bacteria in a population. The function G(t)=1,600× # 1.31 # ^t is the model, with Grepresenting the number of bacteria cells and trepresenting the time in minutes.
What is the size of the population after 25 minutes?
A) 796,819
B) 1,367,421
C) 1,043,833
D) 1,791,322
4. The figure shows the graph of p(t), which represents the number of people, p, at a gym thours after 7:00 a.m.
How should the concavity between t=1.3and t=3.4be interpreted?
A) The number of people is increasing faster and faster.
B) The number of people is increasing slower and slower.
C) The number of people is decreasing slower and slower.
D) The number of people is decreasing faster and faster.
5. A vehicle is traveling away from a town at a fixed rate. After 1 hours, the vehicle is 200 miles from the town.
After 4 hours, the vehicle is 395 miles from the town.
Which function represents the distance, d, between the vehicle and the town after thours?
A) d(t)=65t
B) d(t)=65t+135
C) d(t)=135t
D) d(t)=135t+65
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: A | Question # 3 Answer: B | Question # 4 Answer: B | Question # 5 Answer: B |
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