Draw the graph of the given function. Also from the graph find the intercepts, vertical asymptotes, Horizontal asymptotes, and slant asymptotes.
Explanation of Solution
Given:
It is given in the question that the function is
Graph:
Interpretation: Here, the function is
The graph will be find by putting the equation in the graphing calculator , it gives the right and accurate required graph.
The denominator is defined for all real numbers so there is no vertical asymptote.
The numerator and denominator are the same degree so look at the leading coefficients to ding the horizontal asymptote.
So,
Now, y − intercept , when
Now, x − intercepts at the zeros,
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning