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Last Updated: Aug 09, 2026
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| Section | Objectives |
|---|---|
| Topic 1: Graphical Depictions | - Interpret concavity for situations - Interpret asymptotes for situations - Interpret maximum and minimum for situations - Interpret rates of change for situations - Interpret inputs and outputs for situations |
| Topic 2: Exponential Functions | - Interpret rates of change for exponential functions - Interpret concavity for exponential functions - Interpret inputs and outputs for exponential functions |
| Topic 3: Polynomial Functions | - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions - Interpret inputs and outputs for polynomial functions |
| Topic 4: Functions and Algebra of Functions | - Derive conclusions based on data - Derive conclusions based on notation - Derive conclusions based on graphs |
| Topic 5: Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Topic 6: Validity of Models | - Examine utility - Determine validity - Determine fit |
| Topic 7: Logistic Functions | - Interpret inputs and outputs for logistic functions - Interpret rates of change for logistic functions - Interpret asymptotes for logistic functions |
1. The given function represents the price of a commodity, p, in dollars, based on the number of months, m, since the beginning of 2020.
p(m)=5m+5
What is the average rate of change of the price over the interval m=1to m=10?
A) 5
B) 45
C) 5.91
D) 32.5
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. Through a local marketplace, a person makes livestock feeders to sell. The graph shows the functions modeling the cost and revenue.
What is the minimum number of livestock feeders that must be sold in order for the revenue to cover the costs?
A) 5
B) 1
C) 3
D) 9
4. The value of a collectible coin can be modeled by F(t), where t represents years since the number of years since the coin was found, and the vertical axis represents the value, in thousands of dollars.
How is the value of the coin changing over time based on the graph?
A) The value of the coin is increasing faster and faster.
B) The value of the coin is decreasing slower and slower.
C) The value of the coin is decreasing faster and faster.
D) The value of the coin is increasing slower and slower.
5. The function P(t) represents the yearly profit, in thousands of dollars, for a virtual store since opening. The graph of P(t) is shown.
What is the time at which the store reached the maximum yearly profit?
A) Approximately 7.5 years after the store opened
B) Approximately 4.5 years after the store opened
C) Approximately 2.5 years after the store opened
D) Approximately 14 years after the store opened
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: D | Question # 3 Answer: A | Question # 4 Answer: A | Question # 5 Answer: B |
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