GENERAL AND SPECIFIC COMPETENCIES IN MATHEMATICS IV (Advanced Algebra, Trigonometry and Statistics) A. Functions 1. Demonstrate knowledge and skill related to functions in general 1. 1 Define a function 1. 2 Differentiate a function from a mere relation * real life relationships * set of ordered pairs * graph of a given set of ordered pairs * vertical line test * given equation 1. 3 Illustrate the meaning of the functional notation f(x) 1. 4 Determine the value of f(x) given a value for x B. Linear Functions . Demonstrate knowledge and skill related to linear functions and apply in solving problems 1. Define the linear function f(x) = mx + b 2. Given a linear function Ax + By = C, rewrite in the form f(x) = mx + b and vice versa 3. Draw the graph of a linear function given the following: * any two points * x and y intercepts * slope and one point * slope and the y-intercept 4. Given f(x) = mx + b, determine the following: * slope * trend: increasing or decreasing x and y intercepts * some points 5. Determine f(x) = mx + b given: * slope and y-intercept * x and y intercepts * slope and one point * any two points 6. Solve problems involving linear functions C. Quadratic Functions 1. Demonstrate knowledge and skill related to quadratic functions and apply these in solving problems 1. 1 Identify quadratic functions f(x) = ax2 + bx + c 1. 2 Rewrite a quadratic function ax2 + bx + c in the form f(x) = a(x-h)2 + k and vice versa 1. 3 Given a…