To find: The vertical asymptotes and intercepts of the given rational function.
The vertical asymptotes are equal to
Given information:
Consider the given function.
Calculation:
To find the vertical asymptotes, set the denominator equal to zero and solve for
So, the vertical asymptotes are
Now, find the intercepts of the given function.
For the
For the
Therefore, the
Now, using the sign chart and make a table of values to the draw the graph of the function.
First find the boundary points of the function
To set numerator and the denominator equal to zero. These are the values that make the quotient zero or undefined and solve for
And
So, the boundary points of the function
Now, locate these zeros on the number line (or sign chart) and dividing the number line into intervals and check the function
Now, make a table for the function
Now, draw the graph with help of above table:
Hence, the vertical asymptotes are
Chapter 2 Solutions
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
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