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| Section | Objectives |
|---|---|
| Polynomial Functions | - Interpret rates of change for polynomial functions - Interpret inputs and outputs for polynomial functions - Interpret concavity for polynomial functions |
| Exponential Functions | - Interpret concavity for exponential functions - Interpret rates of change for exponential functions - Interpret inputs and outputs for exponential functions |
| Logistic Functions | - Interpret asymptotes for logistic functions - Interpret inputs and outputs for logistic functions - Interpret rates of change for logistic functions |
| Validity of Models | - Determine validity - Determine fit - Examine utility |
| Functions and Algebra of Functions | - Derive conclusions based on graphs - Derive conclusions based on notation - Derive conclusions based on data |
| Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
| Graphical Depictions | - Interpret maximum and minimum for situations - Interpret asymptotes for situations - Interpret concavity for situations - Interpret inputs and outputs for situations - Interpret rates of change for situations |
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?
Correct Answer: C 🗳️
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The scatterplot shows data on the usage of a computer ' s CPU over time. The graphed regression function has an r^2value of 0.25.
What is the appropriate range of x-values for extrapolation?
Correct Answer: D 🗳️
Explanation: Only visible for VCEEngine members. You can sign-up / login (it's free).
The number of members of a religious organization can be modeled using the logistic function f(x), where xrepresents the number of years since the organization was started and f(x)represents the number of members.
The graph of f(x)is shown.
What is one range of values for which the graph is concave down?
Correct Answer: B 🗳️
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The population of fish in a lake is changing according to the function
P(t)=24t+185
where tis the number of months since the beginning of the year and P(t)is the fish population at time t.
Which interpretation of the rate of change is correct?
Correct Answer: C 🗳️
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.?
Correct Answer: A 🗳️
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