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