Polynomial_expressions_equations_and_functions
Learn how to manipulate polynomials in order to prove identities and find the zeros of those polynomials. Use this knowledge to solve polynomial equations and graph polynomial functions. Learn about symmetry of functions.
Introduction_to_conic_sections
Learn about two basic conic sections and their equations: Circle and Parabola.
A great cook knows how to take basic ingredients and prepare a delicious meal. In this topic, you will become function-chefs! You will learn how to combine functions with arithmetic operations and how to compose functions. You will also learn how to transform functions in ways that shift, reflect, or stretch their graphs. Finally, you will learn about inverse functions and how to find them!
Learn how to add, subtract, multiply, and even divide polynomials.
Review sequences and then dive into arithmetic and geometric series.
Introduction_to_complex_numbers
Learn about complex numbers and how to add, subtract, and multiply them. This will come in useful when working with polynomials.
Practice modeling problems with a variety of function types.
Radical_equations_and_functions
In this topic you will learn how to solve radical equations (which are equations with radical expressions in them) while avoiding extraneous solutions. You will also learn how to graph radical functions.
Rational_expressions_equations_and_functions
Rational expressions are like fractions, but instead of integers in the numerator and the denominator, you have variable expressions! Learn how to work with such expressions. Namely, simplify, add, subtract, multiply, and divide them (much like fractions!). Then, solve some equations with rational expressions in them, and analyze the behavior of rational functions.
Learn about the definition of the basic trigonometric functions (sin(x), cos(x), and tan(x)), and use advanced trigonometric functions for various purposes.
Solve advanced equations by graphing. Interpret advanced features of functions (like symmetry, end behavior, and periodicity) in terms of their context, and compare features of various types of functions.
Learn how to analyze and manipulate exponential functions and expressions in order to study their rate of change.
Exponential_and_logarithmic_functions
Learn about logarithms, which are the inverses of exponents. Use logarithms to solve various equations. Then analyze both logarithmic and exponential functions and their graphs.
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