Multiplying and Dividing Functions. - Compositions of Functions. - Evaluating the Composition of Functions. - Inverse Functions. - Finding the inverse...

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Chapter 8: Rational Expressions and Equations - Multiplying and Dividing Rational Expressions - Understand the definition of a rational expression - Be able to identify a rational expression - Determine where a rational expression is undefined - Simplifying a rational expression - Multiplying/Dividing rational expressions - Simplifying a complex fraction - Adding and Subtracting Rational Expressions - Finding the LCM of a set of monomials - Finding the LCM of a set of polynomials - Adding/Subtracting rational expressions - Simplifying complex fractions that involve the addition/subtraction of rational expressions - Graphing Rational Functions - Identifying the domain and range of a rational function - Identifying the vertical and horizontal asymptotes of a rational function - Identifying whether a rational function will have any holes - Graphing a rational function - Direct, Joint and Inverse Variation - Understand/know the equations that model direct, joint, and inverse variation - Finding the constant of variation for direct, joint, and inverse variation - Distinguish/understand when a problem involves direct, joint, or inverse variation and be able to use the appropriate equations to solve the problem - Classes of Functions - Be able to identify the type of function when given a graph - Be able to identify the type of function when given a functionâ€™s equation - If given a specific type function, be able to graph an example of that type of function - Solving Rational Equations and Inequalities - solving a rational equation when there is exactly two rational expressions present - solving a rational equation when there are more than two rational expressions present - understanding when rational equation has an extraneous solution - solving rational inequalities

Chapter 9: Exponential and Logarithmic Relations - Exponential Functions - Determine the domain and range of an exponential function - Determine whether a function represents exponential growth or decay - Find the exponential function for a graph that pass through two points - Solve an exponential equation (an equation where an exponent has variables) - Solve an exponential inequality - Logarithms and Logarithmic Functions - Determine the domain and range of an exponential function - Write a logarithmic equation in exponential form - Write an exponential equation in logarithmic form - Evaluate a logarithm - Solving a logarithmic equation (an equation where there are variable(s) within a logarithm) - Solving a logarithmic inequality - Properties of Logarithms - Know the Properties of Logarithms - Solve logarithmic equations using the properties of logarithms - Approximate the value of a logarithms when given the values of one or more other logarithms - Base e, Common Logarithms, and Natural Logarithms - Evaluate an exponential with base e using a calculator - Solve exponential equations/inequalities involving base e - Know the definition of the Common Logarithm and Natural Logarithm - Evaluate a logarithm with base 10 or base e using a calculator - Solve logarithmic equations/inequalities involving base e or base 10 - Understand the Change of Base Formula and how it is useful in solving problems involving Logarithms - Exponential Growth and Decay - Understand the formulas involved in exponential decay and how to use them to solve word problems involving exponential decay - Understand the formulas involved in exponential growth and how to use them to solve word problems involving exponential growth