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| Section | Objectives |
|---|---|
| Logistic Functions | - Interpret asymptotes for logistic functions - Interpret rates of change for logistic functions - Interpret inputs and outputs for logistic functions |
| Polynomial Functions | - Interpret concavity for polynomial functions - Interpret inputs and outputs for polynomial functions - Interpret rates of change for polynomial functions |
| Validity of Models | - Examine utility - Determine fit - Determine validity |
| Functions and Algebra of Functions | - Derive conclusions based on graphs - Derive conclusions based on notation - Derive conclusions based on data |
| Exponential Functions | - Interpret inputs and outputs for exponential functions - Interpret rates of change for exponential functions - Interpret concavity for exponential functions |
| Graphical Depictions | - Interpret rates of change for situations - Interpret asymptotes for situations - Interpret concavity for situations - Interpret maximum and minimum for situations - Interpret inputs and outputs for situations |
| Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
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NEW QUESTION # 54
The function a(x)represents the value of an investment account, where xis the number of years since the account was opened. The graph of the function is shown.
What is the total value when x=4?
Answer: A
Explanation:
The function a(x)represents the total value of an investment account.
The horizontal axis represents:
x= " time in years "
The vertical axis represents:
a(x)= " total account value in dollars "
We are asked to find the total value when:
x=4
To answer this from the graph:
Locate x=4on the horizontal axis.
Move vertically upward until reaching the blue graph.
Read the corresponding value on the vertical axis.
From the graph, when x=4, the value is slightly above $1,800, approximately:
a(4)#1,830.59
So the total value of the investment account after 4 years is approximately:
$1,830.59
NEW QUESTION # 55
The value of a painting is represented by the function
f(x)=330× # 1.04 #