To calculate:
To find the cubic function
Answer to Problem 88E
Explanation of Solution
Given information:
The general cubic function is
Calculation:
Consider, the general form of the cubic function
Since the points lie on the cubic function, they satisfy when we substitute them.
Substituting each of the four points in the equations gives us four equations with four variables.
The given system of equations can be written in matrix notation as shown below,
Multiply both sides by the inverse of the coefficient matrix.
Note that the product of a matrix with its inverse is an identity matrix of the same order.
Consider,
Augment with a
Reduce the matrix to row echelon form,
Reduce further,
Hence, we get
Now,
Therefore,
Hence, the equation of the cubic function is
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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