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Competencies
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Represents real-life situations using functions, including piece-wise functions.
Evaluates a function
Performs addition, subtraction, multiplication, division, and composition of functions
Solves problems involving functions.
Represents real-life situations using rational functions
Distinguishes rational function, rational equation, and rational inequality.
Solves rational equations and inequalities
Represents a rational function through its: (a) table of values, (b) graph, and (c) equation
Finds the domain and range of a rational function
Determines the: (a) intercepts (b) zeroes; and (c) asymptotes of rational functions
Graphs rational functions
Solves problems involving rational functions, equations, and inequalities
Represents real-life situations using one-to one functions
Determines the inverse of a one-to-one function
Represents an inverse function through its: (a) table of values, and (b) graph
Finds the domain and range of an inverse function
Graphs inverse functions
Solves problems involving inverse functions
Represents real-life situations using exponential functions
Distinguishes between exponential function, exponential equation, and exponential inequality
Solves exponential equations and inequalities
Represents an exponential function through its: (a) table of values, (b) graph, and (c) equation
Finds the domain and range of an exponential function
Determines the intercepts, zeroes, and asymptotes of an exponential function
Graphs exponential functions
Solves problems involving exponential functions, equations, and inequalities
Represents real-life situations using logarithmic functions
Distinguishes logarithmic function, logarithmic equation, and logarithmic inequality
Illustrates the laws of logarithms
Solves logarithmic equations and inequalities
Represents a logarithmic function through its: (a) table of values, (b) graph, and (c) equation
Finds the domain and range of a logarithmic function
Determines the intercepts, zeroes, and asymptotes of logarithmic functions
Graphs logarithmic functions
Solves problems involving logarithmic functions, equations, and inequalities
Illustrates simple and compound interests
Distinguishes between simple and compound interests
Computes interest, maturity value, future value, and present value in simple interest and compound interest environment
Solves problems involving simple and compound interests
Illustrates simple and general annuities
Distinguishes between simple and general annuities
Finds the future value and present value of both simple annuities and general annuities
Calculates the fair market value of a cash flow stream that includes an annuity
Calculates the present value and period of deferral of a deferred annuity
Illustrate stocks and bonds
Distinguishes between stocks and bonds
Describes the different markets for stocks and bonds
Analyzes the different market indices for stocks and bonds
Interprets the theory of efficient markets
Illustrates business and consumer loans
Distinguishes between business and consumer loans
Solves problems involving business and consumer loans (amortization, mortgage)
Illustrates a proposition
Symbolizes propositions
Distinguishes between simple and compound propositions
Performs the different types of operations on propositions
Determines the truth values of propositions
Illustrates the different forms of conditional propositions
Illustrates different types of tautologies and fallacies
Determines the validity of categorical syllogisms
. establishes the validity and falsity of real-life arguments using logical propositions, syllogisms, and fallacies
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Illustrates the different methods of proof (direct and indirect) and disproof (indirect and by counterexample).
Justifies mathematical and real-life statements using the different methods of proof and disproof
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