To calculate: The asymptotes of the graph
The asymptotes of the graph
Given:The equation of the graph
Concept used:
The asymptotes of a graph are straight lines that constantly approach the graph but do not intersect even at an infinite distance. To find the horizontal asymptotes the value of the given function when x tends to infinity and vertical asymptotes are the value of the given function when y tends to infinity.
Calculation:
With respect to the given equation vertical asymptotes are calculated with reference to x values where y tends to infinity.
The y value tends to infinity when the denominator of the given graph tends to 0. Thus the values of x where the denominator of the given graph is zero are calculated as shown below.
The denominator of the given graph is 0 at
With respect to the given equation horizontal asymptotes are calculated with reference to y values where x tends to infinity.
The x value tends to infinity and the value of y is calculated as shown below.
The value of y when x tends to infinity is
Conclusion:Using the definition of vertical and horizontal asymptotes, the given graph
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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