# Pelc Mathematics

Topics: Function, Linear function, Graph of a function Pages: 2 (257 words) Published: April 24, 2010
GENERAL AND SPECIFIC COMPETENCIES IN MATHEMATICS IV

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
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...