Para repasar el examen de la 3ª Evaluación:

Ejemplo de examen resuelto

Y ejercicios resueltos de:

Vectores en el Plano

Ecuaciones de la Recta en el Plano

Características de las Funciones

Funciones Elementales

Repaso Sistemas de Ecuaciones Lineales

Ejercicios del libro:

Today, we are going to practise with the GEOGEBRA program and the graphs of the PIECEWISE FUNCTIONS:


FIRST STEP

• You have to access to the online program

Geogebra Online

SECOND STEP

• Using the  example

 watch the key sequence you have to enter in order to get the graph of the function:

• Now, try again with this fuction

The key sequence is

HOMEWORK:

Given the following piecewise fuctions, find out their graphs with Geogebra Online and write each analytical function with its associated graph drawn in your notebook

a)      

Keys sequence: 

b)

    

                                                             Keys sequence: 

c)

   

                                                             Keys sequence: 

An example of  the this week recovery exam of the second term:

Recovery Exam

ABSOLUTE VALUE FUCTIONS

You can graph an absolute value fuction just by raising the 
y-negative values of the graph points to the simmetric y-positive values above:

If the graphics of the fuctions f are         

the asociated absolute value functions are

EXERCISE: Represent graphically the fuction 

EXERCISE: Represent graphically the fuction 

Characteristics of a function´s graphic

INTRODUCTION TO THE EXPONENTIAL FUNCTIONS

tRANSLATIONS OF  A BASIC FUNCTION

RELATIVE EXTREMA IN A GRAPHIC

MAXIMUM AND MINIMUM POINTS IN A GRAPHIC

basic functions

Voluntary Homework:

Watch the following videos and, if you want to, explain one basic fuction to your parners in class

QUADRATIC FUNCTION

• Quick view

• Graphing the parabola

EXPONENTIAL FUNCTION

• Graphing exponential functions

• Explanation