Combine function types

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Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

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.

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

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

Review first:

Determine explicit or recursive expressions

Slides

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Combining function types

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Practice

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Exercise

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