To create: A rational function with the given characteristics of the function.
Answer to Problem 62AYU
Explanation of Solution
Given: Three real zeros, one of multiplicity 2; y -intercept 1; vertical asymptotes,
Zeros of the rational function where cross or touch x -axis. If multiplicity is even then graph touches x -axis.
y -intercept:
VA:
Oblique Asymptote:
Rational function,
There are three real zeros. Rational function at numerator maximum three degree.
y -intercept:
Therefore,
The value of a depends on zeros. Using slider to set the value of a if the rational function touches x -axis.
Therefore, the ration function,
Chapter 4 Solutions
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