Concept explainers
To graph: The given function.
Explanation of Solution
Given information:
The following function:
Formula used:
Discriminant is given by:
Calculation:
Step 1:
Find the zeroes.
Since discriminant is negative, the equation has no real solutions. Hence, the function has no zeroes
Step 2:
Find the asymptotes.
There is a vertical asymptote at
The degree of numerator is greater than the degree of the denominator.
So, there is no horizontal asymptote.
The difference between the degree of the numerator and the degree of the denominator is
Divide the numerator by the denominator to determine the equation of the oblique asymptote.
The equation of the oblique asymptote is the quotient excluding any remainder.
Thus, the oblique asymptote is the line
Step 3:
Draw the asymptotes, and then use a table of values to graph the function.
Chapter 8 Solutions
Glencoe Algebra 2 Student Edition C2014
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