CXC CSEC Math Topic: Relations, functions and graphs



CXC Math Topic: Relations, Functions and Graphs

CXC General Proficiency Math Topic:

RELATIONS FUNCTIONS AND GRAPHS

 

CONTENT

Relations, mapping and functions; graphical representation of numerical and statistical data; graphs of simple linear and non-linear functions

 

SPECIFIC OBJECTIVES:

The student should be able to:

 

1.

Recognize a relation

 

2.

Describe a relation as a set of ordered pairs

 

3.

Use arrow diagrams to show relations

 

4.

Define a function as a many-to-one or one-to-one relation

 

5.

Distinguish between the graph of a relation and the graph of a function

 

6.

Use the functional notations, for example, f : x → x 2; or f(x) = x2; as well as y = f(x) for given domains

 

7.

Represent numerical and statistical data by bar chart, pie chart, line graph, histogram, frequency polygon, as well as on the rectangular cartesian plane

 

8.

Interpret data presented in any of the graphical or pictorial forms named in objective 7

 

9.

Draw, read and interpret graphs of:

(a)     the functions {(x,y): y = a + bx +cx²} where       a, b, and c are integers;

(b)    simple non-linear functions given a table of            values;

  

10.

Recognize the gradient of a line as the ratio of the vertical rise to the horizontal shift

 

11.

Find by drawing and or calculation, the gradients and intercepts of graphs of linear functions

 

12.

Determine the equation of a line given:

(a)      the graph of the line

(b)      the co-ordinates of two points on the line

(c)      the gradient and one point on the line

 

13.

Represent the solution of linear inequalities in one unknown using:

(a)     set notation

(b)     The number line

   

14.

Recognize simple functions that have inverses

 

15.

Distinguish between functions defined for different domains by the same formula;

 

16.

Interpret and make use of functional notations for example, f(x), g(x), f -1 (x), and their compositions

 

*17.

Draw and use the graphs of the functionsof the form y = ax³, y = ax-1 and y =ax-2 for specific domains

 

18.

Recognize simple everyday expressions of exponential growth
(for example, population growth, multiplication of bacteria, compound interest)

 

19.

Draw and use graphs of a given quadratice function to determine;

(a)     the elements of the domainthat have a given          image or vice versa

(b)     the intervals of a domainfor which the                  elements of the range may be postive or                negative

(c)     the interval of the domain for which the                elements of the range may be greater than or         less than a given value.

(d)     the roots of the given function

(e)     the maximum and minimum values of the                function over a given interval of the domain.

 

20.

Draw and sketch graphs to represent cases of variation such as y varies as xn where n has the values 1, 2 or -1, -2

 

*21.

Determine maximum and minimum values of quadratic functions by the method of completing the square

 

22.

Use graphs of fucntions to solve simple problems

 

*23.

Draw and use distance-time-graphs and speed-time-graphs

 

24.

Use the gradient of the graph of a linear function to determine the rate of change of one variable with respect to the other

 

25.

Recognize the relation between the tangent of a certain angle and the gradient of a curve

 

26.

Estimate the value of the gradient of a curve by constructiing a tanget to the curve at a given point

 

*27.

Apply the ideas of gradient of a curve and area under a curve to problems in the physical, biological and social sciences

 

*28.

Use linear programming techniques to solve problems involving two variables.

 

*optional objectives which may be tested in section II of the general proficiency exam.
 


1.666665
Average: 1.7 (3 votes)
Your rating: None
Harriechan Tirbohun's picture
Harriechan Tirbohun (not verified)
Mathematics

i having fun doing maths. I'm enjoying it, please give me more.

Harriechan Tirbohun's picture
tinu_wol (not verified)
Math

having a problem with inverse composite functions where can i find practice questions?

Harriechan Tirbohun's picture
Rishma Ramhi (not verified)
Math

Can i find Practice Questions for Inverse Composite Functions

Harriechan Tirbohun's picture
NikiM (not verified)
Re: CXC CSEC Math Topic: Relations, functions and graphs

Can I get a 2010 MAths syllabus

Harriechan Tirbohun's picture
ajbryan (not verified)
Re: Re: CXC CSEC Math Topic: Relations, functions and graphs

i really need help in maths do you hav groups studies

Harriechan Tirbohun's picture
OKBAY BERHE (not verified)
Math

This is just like going to a school while you are at home and easily become a math genius

Post new comment

The content of this field is kept private and will not be shown publicly.
  • Web page addresses and e-mail addresses turn into links automatically.
  • Allowed HTML tags: <a> <em> <strong> <cite> <code> <ul> <ol> <li> <dl> <dt> <dd>
  • Lines and paragraphs break automatically.

More information about formatting options

CAPTCHA
This question is for testing whether you are a human visitor and to prevent automated spam submissions.
Image CAPTCHA
Enter the characters shown in the image.