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Learning Goal

‹2 of 3 in this skill_area›

Adding, subtracting, multiplying, dividing functions

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

**A 505.** Add, subtract, and multiply polynomials **A 513.** Determine when an expression is undefined **AF 602.** Build functions and write expressions, equations, and inequalities for common algebra settings (e.g., distance to a point on a curve and profit for variable cost and demand) **AF 702.** Build functions and write expressions, equations, and inequalities when the process requires planning and/or strategic manipulation **AF 703.** Analyze and draw conclusions based on properties of algebra and/or functions **A 403.** Solve routine first-degree equations

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A 505. Add, subtract, and multiply polynomials
A 513. Determine when an expression is undefined
AF 602. Build functions and write expressions, equations, and inequalities for common algebra settings (e.g., distance to a point on a curve and profit for variable cost and demand)
AF 702. Build functions and write expressions, equations, and inequalities when the process requires planning and/or strategic manipulation
AF 703. Analyze and draw conclusions based on properties of algebra and/or functions
A 403. Solve routine first-degree equations

What you'll learn

  1. State the pointwise definition $(f+g)(x) = f(x) + g(x)$, and the corresponding definitions for difference, product, and quotient
  2. Evaluate $(f+g)(a)$, $(f-g)(a)$, $(fg)(a)$, and $(f/g)(a)$ from the two functions' values at $a$
  3. Write the simplified expression for a sum, difference, or product of two polynomial functions, distributing a subtraction correctly
  4. Identify the values excluded from a quotient function because the divisor function is zero there, and explain why neither original function shows the restriction
  5. Build a combined function in an applied setting — profit as revenue minus cost — and interpret its parameters and its zero

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