A cubic function f:x = ax^3 +b , where a and b are real numbers and a not equal to 0.


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Guide :

A cubic function f:x = ax^3 +b , where a and b are real numbers and a not equal to 0.

a) Investigate the shape of the graph of the cubic function for various value of a for the case b=0 . Identify the point of inflexion. b) Investigate the shape of the graph if both a  and b   have the same sign and if a  andb  have different signs. Identify the point of inflexion in each case.  c) Investigate the points of intersection of the graphs of f and its tangents. What can u say abt the number of point of intersection.

Research, Knowledge and Information :



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Cubic function - Wikipedia


The critical points of a cubic function f defined by f(x) = ax 3 + bx 2 ... both Δ and Δ 0 are equal to 0 and is also ... q are real numbers and q 2 / 4 + p 3 / 27 ...
Read More At : en.wikipedia.org...

Graphing Cubic Functions - Free Mathematics Tutorials ...


Graphing Cubic Functions. ... c and d are real numbers and a is not equal to 0. ... Example 3: f is a cubic function given by f (x) ...
Read More At : www.analyzemath.com...

Cubic equations - mathcentre.ac.uk - Mathematics resources


ax3 +bx2 +cx+d = 0 where a 6= 0 All cubic equations have either one real ... in x3 or it would not be cubic (and so a 6= 0 ... (x2 +ax+b) = 0 where a and b are numbers.
Read More At : www.mathcentre.ac.uk...

AmericanoMath - Cubic Functions


Applications of the function to real-world situations; ... b, h and k affect the cubic functions graph. Let's set the cubic function as f(x) = 1/1*(x – 0)^3 + 0 .
Read More At : americanomath.wikispaces.com...

Edurite.com - How to Solve Ax3 Bx2 Cx D 0 | Solve for X


... of the equation is 3.Where the value of a,b,c,d are real numbers which ... a,b,c,d such that f(x)=ax^3+bx^2 ... x in the cubic function: ax^3 + bx^2 + cx + d = 0.
Read More At : www.edurite.com...

1.6 a library of parent functions - UTEP - Academics Portal Index


1.6 A LIBRARY OF PARENT FUNCTIONS ... The graph of the linear function f (x) = ax + b is a line with ... real numbers. • The function is even. 12
Read More At : academics.utep.edu...

Algebra 2 Unit F Flashcards | Quizlet


Algebra 2 Unit F. STUDY. PLAY. ... a function of the form y=ax^b, ... where a, b & c are real numbers and a is not equal to zero. quartic function.
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Algebra 2 Honors Flashcards | Quizlet


Algebra 2 Honors. STUDY. PLAY. ... where a,b,and c are real numbers and a ≠ 0. cubic function. a function to the 3d power f(x) ax^3 + bx^2 +cx +d, ...
Read More At : quizlet.com...

Suggested Questions And Answer :



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A cubic function f:x = ax^3 +b , where a and b are real numbers and a not equal to 0.


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is x^4-x^2+3x-7 a polynomial function

yes it is a polynomial function. What is a polynomial? hmm well its a function that must satisfy the following conditions: 1.) n is a non negative number, meaning its equal to 0 or a positive number. n is the power, in that function the powers, are 4,2 and 1 they all satisfy this. 2.) The coeffic
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polynomial function, i need a definition

  Polynomial functions are functions that have this form: f(x) = anxn+ an-1xn-1+ ... + a1x + a0 The value of n must be an non-negative integer. That is, it must be whole number; it is equal to zero or a positive integer. The coefficients, as they are called,
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When is the function x^x increasing and decreasing?

x^x = exp (x ln x)   we can say that ln is increasing and x is increasing and exp is increasing so x ln x is increasing and also exp(x ln x) is increasing by composition but for the domain it is not all real numbers except zero  it is all positive real num
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Polynomial Functions

Polynomial functions are functions that have this form: f(x) = anxn + an-1xn-1 + ... + a1x + a0 The value of n must be an non-negative integer. That is, it must be whole number; it is equal to zero or a positive integer. The coefficients, as they are called, ar
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What's a function of function?

If you just mean the purpose of a function then see immediately below. If you mean f of g where f and g are two functions, go to the end. The purpose of a function is like giving someone a to-do list. A function (normally shown as f(x)= meaning "function of x", or y=) will usually contain on
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Finding the domain of a function

When you're finding the domain of the function, you have to find places where f(x) is undefined. If there are no points where f(x) = undefined, then the domain is all real numbers. There are only a few cases where the domain would be different: -log(x) has no points on or below zero, so to find the
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when is the balloon exactly 980m above the ground

  When h(t)=980, -2t^3+3t^2+149t-570=0. The factors of 570=2*3*5*19. From these we can make several composite numbers that could be factors if it is assumed that there are rational zeroes. We need three zeroes or roots and the possible factors are (2,3,95), (2,15,19), (6,5,19), (3,10,19), (2
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how do i graph |x+2| less than or equal to 3 graph the solution set assuming that the domain is

When x<-2 |x+2| becomes 2-x; when x>-2 |x+2| becomes x+2. So x=-2 is a point to note on a graph. The graph of 2-x has negative slope (\) while x+2 has positive slope. So the graph resembles a V shape with the point of the V at (-2,0), and a y intercept at 2, when x=0. But the limits |x+2|
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complex, rational and real roots

The quintic function should have 5 roots.  The changes of sign (through Descartes) tell us the maximum number of positive roots. Since there are two changes of sign there is a maximum of 2 positive roots. To find the number of negative roots we negate the terms with odd powers and check
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