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| Section | Objectives |
|---|---|
| Functions and Algebra of Functions | - Derive conclusions based on graphs - Derive conclusions based on notation - Derive conclusions based on data |
| Logistic Functions | - Interpret inputs and outputs for logistic functions - Interpret rates of change for logistic functions - Interpret asymptotes for logistic functions |
| Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Polynomial Functions | - Interpret rates of change for polynomial functions - Interpret concavity for polynomial functions - Interpret inputs and outputs for polynomial functions |
| Validity of Models | - Determine validity - Determine fit - Examine utility |
| Exponential Functions | - Interpret rates of change for exponential functions - Interpret concavity for exponential functions - Interpret inputs and outputs for exponential functions |
| Graphical Depictions | - Interpret inputs and outputs for situations - Interpret asymptotes for situations - Interpret maximum and minimum for situations - Interpret rates of change for situations - Interpret concavity for situations |
1. The temperature of an object changes according to the relationship in the graph.
What is the equation of the horizontal asymptote?
A) y=500
B) x=500
C) x=0
D) y=0
2. A contractor charges a flat rate plus a fixed rate per hour to come and make repairs. For a job that takes 3 hours, the contractor charges $220. For a job that takes 5 hours, the contractor charges $340.
Which function correctly represents the total charge Cfor a job that takes thours?
A) C(t)=60t+40
B) C(t)=60t
C) C(t)=40t
D) C(t)=40t+60
3. The function P(t) represents the yearly profit, in millions of dollars, for a clothing store since opening. The graph of P(t) is shown.
How should the maximum value be interpreted?
A) Approximately 10.5 years after opening, a maximum yearly profit of approximately $2.25 was earned.
B) Approximately 16 years after opening, a maximum yearly profit of approximately $2,250,000 was earned.
C) Approximately 16 years after opening, a maximum yearly profit of approximately $2.25 was earned.
D) Approximately 10.5 years after opening, a maximum yearly profit of approximately $2,250,000 was earned.
4. The graphed function n(t)represents the number of animals, n, at a feeding station thours after 5:00 a.m. The plotted points Aand Bhave coordinates (1#10.6)and (8#6.59).
Which statement gives the correct interpretation of the average rate of change of the number of animals over the interval from point Ato point B?
A) The number of animals at the station increases at an average rate of 0.573 per hour.
B) The number of animals at the station increases at an average rate of 4.01 per hour.
C) The number of animals at the station decreases at an average rate of 0.573 per hour.
D) The number of animals at the station decreases at an average rate of 4.01 per hour.
5. A team was assembled at a manufacturing plant in order to boost productivity. The team was tasked with producing as many widgets each day as possible. The results are shown in the graph.
What is the correct interpretation of the average rate of change from day 6 to day 14?
A) Over the 8-day period, the team approximately produced an additional 2.5 widgets in total.
B) The team increased production by an average of approximately 1.2 widgets each day.
C) The team increased production by an average of approximately 2.5 widgets each day.
D) Over the 8-day period, the team approximately produced an additional 1.2 widgets in total.
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: A | Question # 3 Answer: D | Question # 4 Answer: C | Question # 5 Answer: C |
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