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函数:建模关系(续)

如何用函数这一数学思想来表示两个变化中的量之间的关系?

1. Determining whether a relationship is a function or not

Determining whether a relationship is a function or not

2. Summary

Summary

3. Any table of pairs defines a function

A table in which the input x = 2 appears twice with different outputs still defines y as a function of x.

4. Which relation is a function

Which of these relations can be viewed as a function of the stated input?

5. Height graph of the conical tank

An inverted cone 2 feet deep with top radius 3 feet fills at 0.75 cubic feet per minute. How does the depth h behave as the cone fills?

6. Number of outputs for one input

In a valid function table the input x = 3 must pair with how many different outputs y?

7. The odometer and the fuel gauge

A driver records fuel G against odometer distance D, and at D = 100 the tank holds 1.5 gallons before refueling and 10.0 gallons after. Can G be a function of D?

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