Option A.
Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number.
STEP - BY -STEP EXPLANATION
What to find?
The second step in sketching the graph of a rational function.
To answer the given question, we will follow the steps below:
Step 1
Define a rational function.
In mathematics, the term "rational function" is determined as any specific function that can be described through any "rational fraction", in other words, an algebraic fraction, involving both the denominator and the numerator are considered as polynomials.
Step 2
Arrange the order of finding the rational fraction.
The points of interest in graphing are the asymptotes and intercepts. (Maxima and minima are also useful, but may not be as easy to find.
So, the steps in finding the rational fractions are;
• Find the function's zeros and vertical asymptotes and plotting them on a number line.
,
• Choose test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number.
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• Usetest numbers to find where the function is positive and where it is negative
,
• the function's graph and plotting additional points as guides when needed.
Observe from the above that the second step in sketching the graph is: Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number .
Therefore, the correct option is Option A. Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number.