Chapter 5 and Appendix A and B Test Topics: Inverses, Composite Functions, Arithmetic sequences, Geometric Sequences, Explicit and Recursive terms, Simplifying Exponents, Interest... Chapter 5 and Appendix A and B Test Topics: Inverses, Composite Functions, Arithmetic sequences, Geometric Sequences, Explicit and Recursive terms, Simplifying Exponents, Interest calculations, Exponential Growth and Decay, and old topics like Inequalities and Rational Functions.

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Understand the Problem

The text outlines the topics to be covered in an upcoming group test and individual test, including various mathematical concepts such as sequences, functions, and exponents.

Answer

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Steps to Solve

  1. Identify the Focus Topics for the Tests

The topics covered in the group and individual tests include:

  • Inverses (graphing and algebraically simplifying)
  • Composite Functions
  • Arithmetic and Geometric Sequences
  • Finding any term in a sequence
  • Explicit and Recursive Definitions of sequences
  • Simplifying Exponents
  • Interest (simple and compound)
  • Exponential Growth and Decay
  1. Break Down Key Concepts

Each topic focuses on distinct mathematical concepts:

  • Inverses: Understanding how to find and graph inverse functions.

  • Composite Functions: Learning how to combine functions and evaluate them.

  • Sequences: Distinguishing between arithmetic (linear) and geometric (exponential) sequences, as well as using formulas to find specific terms.

  • Explicit and Recursive Formulas: Understanding the difference between these two types of formulas for defining sequences.

  • Exponents: Simplifying expressions that involve exponents.

  • Interest: Calculating simple and compound interest using appropriate formulas.

  1. Review Old Topics

Old topics to review include:

  • Inequalities
  • Operations on rational functions (adding, subtracting, multiplying,

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