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GRAPHS OF CUBIC FUNCTION AND 
RECIPROCAL FUNCTION 
MATHEMATICS SUBJECT 
ALDO ANDIKA & JOSHUA PRANATA 
XI A SOCIAL 
JOHN PAULS SCHOOL 2013-2014
GRAPHS OF CUBIC FUNCTION 
 It is a quadratic function that has the form f  = 3 + 2 + 
 +  . Where a, b, c, d are real numbers and A is not equal to 0 
 The domain of this function is the set of all real numbers 
 The range of  is the set of all real numbers 
 The y intercept of the graph of  is given by  0 = d 
 The x intercepts are found by solving the equation => 3 + 2 + 
 +  = 0
FOR EXAMPLE 
 Draw the graph of  = 3 + 4    = 3  4 on the same axes, for values of x from -3 to 3 and 
use each graph to find 
a. The value of Y when x = 2 
b. The value of x when y = 4 
x -6 -4 -2 0 2 4 6 
Y = 3 + 4 -212 -62 -4 4 12 68 220 
Y = 3  4 212 62 4 -4 -12 -68 -220
THIS IS THE RESULT FROM 
THE TABLE:
GRAPH OF RECIPROCAL 
FUNCTION 
 The general form of a reciprocal function is y = 
 
 
, where  is a real number and   0. the 
function y = 
 
 
is defined for all real values of x , except when x = 0 
 For example: The table displaying values of x and y for y = 
6 
 
is: 
X -15 -10 -5 -0,5 0,5 5 10 15 
Y -0.4 -0,6 -1.2 -12 12 1.2 0.6 0.4
THIS IS THE RESULT FROM THE TABLE THE GRAPH
TEST YOUR SKILL! (CANNOT OPEN BOOK) 
 Question 1: 
 1. copy and complete the following table which gives values of y = 3 for values of x between -3 and 3 
inclusive. 
X -3 -2 -1 0 1 2 3 
y -8 1 27
TEST YOUR SKILL (CANNOT OPEN BOOK) 
 Question 2: 
 2. Copy and complete the following table which gives values of y =3 - 5 for values of x between -3 and 
3 inclusive 
X -3 -2 -1 0 1 2 3 
Y -32 -6 22

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Cubic Function and Reciprocal Function (ALDO ANDIKA)

  • 1. GRAPHS OF CUBIC FUNCTION AND RECIPROCAL FUNCTION MATHEMATICS SUBJECT ALDO ANDIKA & JOSHUA PRANATA XI A SOCIAL JOHN PAULS SCHOOL 2013-2014
  • 2. GRAPHS OF CUBIC FUNCTION It is a quadratic function that has the form f = 3 + 2 + + . Where a, b, c, d are real numbers and A is not equal to 0 The domain of this function is the set of all real numbers The range of is the set of all real numbers The y intercept of the graph of is given by 0 = d The x intercepts are found by solving the equation => 3 + 2 + + = 0
  • 3. FOR EXAMPLE Draw the graph of = 3 + 4 = 3 4 on the same axes, for values of x from -3 to 3 and use each graph to find a. The value of Y when x = 2 b. The value of x when y = 4 x -6 -4 -2 0 2 4 6 Y = 3 + 4 -212 -62 -4 4 12 68 220 Y = 3 4 212 62 4 -4 -12 -68 -220
  • 4. THIS IS THE RESULT FROM THE TABLE:
  • 5. GRAPH OF RECIPROCAL FUNCTION The general form of a reciprocal function is y = , where is a real number and 0. the function y = is defined for all real values of x , except when x = 0 For example: The table displaying values of x and y for y = 6 is: X -15 -10 -5 -0,5 0,5 5 10 15 Y -0.4 -0,6 -1.2 -12 12 1.2 0.6 0.4
  • 6. THIS IS THE RESULT FROM THE TABLE THE GRAPH
  • 7. TEST YOUR SKILL! (CANNOT OPEN BOOK) Question 1: 1. copy and complete the following table which gives values of y = 3 for values of x between -3 and 3 inclusive. X -3 -2 -1 0 1 2 3 y -8 1 27
  • 8. TEST YOUR SKILL (CANNOT OPEN BOOK) Question 2: 2. Copy and complete the following table which gives values of y =3 - 5 for values of x between -3 and 3 inclusive X -3 -2 -1 0 1 2 3 Y -32 -6 22