Pelc Mathematics

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
1. 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