Grade 11 General Mathematics 27652q

“GENERAL MATHEMATICS” GRADE 11 Core Subject Description: At the end of the course, the students must know how to solve problems involving rational, exponential, and logarithmic functions; to solve business-related problems; and to apply logic to real-life situations.

RATIONAL FUNCTIONS LEARNING COMPETENCIES • Represents real-life situations using rational functions • Distinguishes rational function, rational equation, and rational inequality • Solves rational equations and inequalities • Represents a rational functions through its: (a) table of values, (b) graph, (c) equation • Finds the domain and range of a rational function • Determines the: (a) intercepts, (b) zeroes, (c) asymptotes of rational functions • Graphs rational functions • Solves problems involving rational functions, equations, and inequalities

INVERSE FUNCTIONS • Represents real-life situations using one-to-one functions • Determine 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 the range of an inverse function • Graphs of inverse functions

EXPONENTIAL 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 • Determines the intercepts, zeroes, and asymptotes of an exponential function • Graphs exponential functions • Solves problems involving exponential functions, equations, and inequalities

LOGARITHMIC FUNCTIONS • Represents real-life situations using logarithmic functions • Distinguishes logarithmic function, logarithmic equation, and logarithmic inequality • Illustrates the laws of logarithms • Solves logarithmic equations, and logarithmic inequalities • Represents a logarithmic through its: (a) table of values, (b) graph, and (c)equation • Finds the domain and the range of a logarithmic functions • Determines the intercepts, zeroes, and asymptotes of logarithmic functions • Graphs logarithmic functions • Solves problems involving logarithmic functions, equations, and inequalities