To find:The domain of function, all intercepts, asymptotes and sketch the graph.
Answer to Problem 26E
The domain of function is all the real numbers except
Explanation of Solution
Given information:
The function is
Calculation:
Consider the function.
The function is valid for all the real numbers except
Therefore, the domain of function is all the real numbers except
Put
the y- intercept is
Calculate x- intercept.
Therefore, the y- intercept is
Calculate vertical asymptote by finding solution of denominator.
The vertical asymptote is
In given function degree of numerator is less than degree of denominator. Thus, the graph will have line
Therefore, the horizontal asymptote is
Additional points are tabulated below.
Test interval | Value of | Value of | Sign | Point of |
1 | -1 | Negative | ||
3 | -1 | negative |
Draw the sketch for the function by using the equations of asymptotes.
Figure-(1)
Therefore, The domain of function is all the real numbers except
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
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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