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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# 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 ...

### 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) ...

### 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.

### 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 ﻿.

### 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.

### 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

### 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.

### 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, ...

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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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