Calculus Pre-Requisites: Function Evaluation

Advanced Placement Calculus AB Function Evaluation

  • The foundation of the prerequisite practice is the quadratic function f(x)=x2−2x+5f(x) = x^2 - 2x + 5.

Problem Set Objectives

  • Constant substitution: Determining the numerical value of f(−2)f(-2).
  • Algebraic substitution with shifts: Evaluating and simplifying f(x+2)f(x + 2).
  • General expression evaluation: Determining f(x+h)f(x + h), a key step for future derivative calculations.

Constraints

  • No Calculator: All evaluations and algebraic manipulations must be completed without digital assistance.