Unit 6

Exponents & Exponential Functions

Master the rules of exponents, work with integer and rational exponents, simplify radical expressions, and model real-world growth and decay with exponential functions.

Unit 6 · 8 pages

Chapters

00Cover

Cover

Unit overview, essential questions, learning objectives, and vocabulary list for Unit 6 Exponents & Exponential Functions.

6.1

Exponent Rules

Apply the product, quotient, power, zero, and negative exponent rules to simplify expressions with integer exponents.

6.2

Scientific Notation & Operations

Write numbers in scientific notation and perform multiplication and division with numbers in scientific notation.

6.3

Rational Exponents & Radicals

Convert between radical form and rational exponent form. Simplify expressions involving square roots, cube roots, and nth roots.

6.4

Introduction to Exponential Functions

Identify and evaluate exponential functions of the form f(x) = ab^x. Graph exponential functions and identify key features.

6.5

Exponential Growth & Decay

Model real-world situations with exponential growth and decay functions. Apply percent change and compound interest formulas.

6.6

Comparing Linear and Exponential Functions

Compare linear and exponential functions using constant differences, constant ratios, tables, graphs, equations, long-term growth, and real-world models.

6.7

Unit Review

Review all Unit 6 Exponents & Exponential Functions topics before the unit assessment.

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