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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
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