Common Core Math
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Learning Goal

Part of: Build a function that models a relationship between two quantities — 3 of 5 cluster items

Combine function types

HSF.BF.A.1.b

**HSF.BF.A.1.b**: Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.

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HSF.BF.A.1.b: Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.

What you'll learn

  1. Add, subtract, multiply, and divide functions to create new functions, using correct notation: (f + g)(x) = f(x) + g(x)
  2. Determine the domain of a combined function as the intersection of the component domains (with additional restrictions for division)
  3. Build real-world models by combining simpler function components (e.g., revenue minus cost equals profit)
  4. Identify the component functions within a combined model and explain what each represents in context
  5. Evaluate combined functions at specific inputs by evaluating each component and then combining
  6. Connect the standard's example (constant + decaying exponential for cooling) to the modeling principle

Slides

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Slides

In development

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