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- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_384%3A_Foundations_for_Calculus/01%3A_Functions_-_Fundamental_Concepts/1.03%3A_Function_ArithmeticThis section focuses on function arithmetic, covering how to perform operations like addition, subtraction, multiplication, and division with functions. It explains how to evaluate these operations fo...This section focuses on function arithmetic, covering how to perform operations like addition, subtraction, multiplication, and division with functions. It explains how to evaluate these operations for given inputs and discusses the concept of the domain of combined functions. Examples are provided to illustrate these operations and their practical applications, emphasizing understanding of function combinations.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/01%3A_Relations_and_Functions/1.05%3A_Function_ArithmeticThis section focuses on function arithmetic, covering how to perform operations like addition, subtraction, multiplication, and division with functions. It explains how to evaluate these operations fo...This section focuses on function arithmetic, covering how to perform operations like addition, subtraction, multiplication, and division with functions. It explains how to evaluate these operations for given inputs and discusses the concept of the domain of combined functions. Examples are provided to illustrate these operations and their practical applications, emphasizing understanding of function combinations.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/02%3A_Linear_and_Quadratic_Functions/2.03%3A_Quadratic_FunctionsYou may recall studying quadratic equations in Intermediate Algebra. In this section, we review those equations in the context of our next family of functions: the quadratic functions.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/02%3A_Linear_and_Quadratic_Functions/2.01%3A_Linear_FunctionsThis section covers linear functions, including their definition, graphing, and interpretation. It explains the slope-intercept form y=mx+b, where m represents the slope and b the y-intercept, and dem...This section covers linear functions, including their definition, graphing, and interpretation. It explains the slope-intercept form y=mx+b, where m represents the slope and b the y-intercept, and demonstrates how to find and interpret these values. It also addresses real-world applications of linear functions, such as modeling and predicting trends. Examples and exercises help reinforce understanding of these key concepts.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/02%3A_Linear_and_Quadratic_Functions/2.01%3A_Linear_FunctionsWe now begin the study of families of functions. Our first family, linear functions, are old friends as we shall soon see. Recall from Geometry that two distinct points in the plane determine a unique...We now begin the study of families of functions. Our first family, linear functions, are old friends as we shall soon see. Recall from Geometry that two distinct points in the plane determine a unique line containing those points.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_384%3A_Foundations_for_Calculus/02%3A_Polynomial_and_Rational_Functions/2.02%3A_Quadratic_FunctionsThis section covers quadratic functions, including their standard, vertex, and factored forms. It explains how to graph parabolas, find their vertices, axes of symmetry, and intercepts. The section al...This section covers quadratic functions, including their standard, vertex, and factored forms. It explains how to graph parabolas, find their vertices, axes of symmetry, and intercepts. The section also discusses how to solve quadratic equations using factoring, completing the square, and the Quadratic Formula. Examples and applications help illustrate these concepts, emphasizing the importance of understanding quadratic functions in Algebra.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/02%3A_Linear_and_Quadratic_Functions/2.03%3A_Quadratic_FunctionsThis section covers quadratic functions, including their standard, vertex, and factored forms. It explains how to graph parabolas, find their vertices, axes of symmetry, and intercepts. The section al...This section covers quadratic functions, including their standard, vertex, and factored forms. It explains how to graph parabolas, find their vertices, axes of symmetry, and intercepts. The section also discusses how to solve quadratic equations using factoring, completing the square, and the Quadratic Formula. Examples and applications help illustrate these concepts, emphasizing the importance of understanding quadratic functions in Algebra.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/01%3A_Refining_Function_Knowledge/1.02%3A_Function_Arithmetic_and_the_Difference_QuotientThis section focuses on function arithmetic, covering how to perform operations like addition, subtraction, multiplication, and division with functions. It explains how to evaluate these operations fo...This section focuses on function arithmetic, covering how to perform operations like addition, subtraction, multiplication, and division with functions. It explains how to evaluate these operations for given inputs and discusses the concept of the domain of combined functions. Examples are provided to illustrate these operations and their practical applications, emphasizing understanding of function combinations.
