1: Describing Relationships with Functions
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1.1: Describing Relationsips Between Two Quantities with Functions
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Functions are tools we can use to describe relationships between two quantities. Function notation allows us a convenient way to distinguish between two functions as well as communicate the input and output of a function.
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1.2: Rates of Change
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In describing a relationship between two quantities, it is also important to describe how the two quantities are changing relative to each other. Describing how quickly one quantity is increasing or decreasing relative to another helps us paint a fuller picture of the relationship.
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1.3: Describing Relationships with Linear Functions
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In this section, we explore describing relationships with linear functions which have a constant rate of change.
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1.4: More on Using Functions to Describe Relationships
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As we explore modeling more types of relationships with functions, we need to develop tools to analyze more complex relationships as well as identify the limitations of the mathematical models we create.
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1.5: Piecewise Defined Functions
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With a goal of developing new types of functions to describe relationships, we explore piecewise defined functions. These functions which have two or more rules or formulas for different intervals.
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