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Algebra II · Honors Math · Exponential and logarithmic functions

How to prepare for quizzes, unit tests, and practice-test tiers on change of base and continuous models in Algebra II · Honors. Focus: Use change-of-base; deepen continuous-growth models with e and ln.

What "ready" looks like

You are ready for a mid-topic check when you can:

  • Decide whether a relation is a function
  • Evaluate and solve with function notation
  • Read intercepts, max/min, and increase/decrease from a graph
  • Translate among verbal, table, equation, and graph forms

Before the quiz or test

1. Warm up with 2-3 short practice items from Practice sets 1-5. 2. Skim your notes/formulas for this topic only (one page max). 3. Do one Review tier under timed-ish conditions. 4. List what the question will ask you to show (setup, work, units, conclusion).

Multiple-choice tips

  • Eliminate choices that violate the problem conditions before computing.
  • Estimate first; discard answers that are the wrong order of magnitude.
  • Watch for distractors that reverse a key operation or inequality.
  • If two choices look close, re-read what the stem actually asks for.

Free-response / written tips

  • Write a brief plan, then show organized steps.
  • Label unknowns and units; box the final answer.
  • State a one-sentence interpretation when the problem is contextual.
  • If stuck, try a simpler number version, then return to the given values.

Common traps

  • Confusing f(x) evaluation with solving f(x) = k
  • Claiming a relation is a function when an input has two outputs
  • Mixing up domain and range
  • Misreading open/closed endpoints on a graph

Quick checklist

  • [ ] Can state what change of base and continuous models requires
  • [ ] Can finish one clean example with labeled work
  • [ ] Can name and avoid one trap for this topic
  • [ ] Completed at least one Review or practice-test tier recently

Related materials

  • Parent Guide and Study Guide for 5.6 (same folder)
  • Review and practice-test tiers under this topic when present
  • Practice-problem sets for timed warm-ups before a quiz

For your personal study only. Copying, printing, screenshotting, or sharing this material is not permitted and may result in loss of access.

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