๐Ÿ“š 12 Grade Math Lessons B.E.S ๐Ÿ“š

Focus: Preparing for Advanced Math

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Lessons 1.10: Functions: Polynomial, rational, and trigonometric functions.

Lesson 1.1: Polynomial Functions

Learn about polynomial functions and their properties.

Example: The standard form of a polynomial is f(x) = axโฟ + bxโฟโปยน + ... + c.

Solution:

Step 1: Identify the degree and leading coefficient.
Step 2: Determine end behavior based on degree.
Step 3: Find the zeros and graph the function.

What is the degree of the polynomial f(x) = 3xโต - 2xยฒ + 7?

Graph of a Polynomial Function

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Lesson 1.2: Rational Functions

Understand how to work with rational functions and their asymptotes.

Example: A rational function is a ratio of two polynomials, f(x) = (xยฒ - 1) / (x - 1).

Solution:

Step 1: Identify the numerator and denominator.
Step 2: Find vertical and horizontal asymptotes.
Step 3: Determine the domain and intercepts.

What is the vertical asymptote of f(x) = 1 / (x - 3)?

Graph of a Rational Function

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Lesson 1.3: Trigonometric Functions

Learn the properties of sine, cosine, and tangent functions.

Example: The unit circle helps define sine, cosine, and tangent.

Solution:

Step 1: Identify key points on the unit circle.
Step 2: Use SOH-CAH-TOA to evaluate functions.
Step 3: Graph transformations of trigonometric functions.

What is sin(30ยฐ)?

Graph of the Sine Function

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