To find:The domain of function, all intercepts, asymptotes and sketch the graph.
Answer to Problem 21E
Therefore, The domain of function is all the real numbers except
Explanation of Solution
Given information:
The function is
Calculation:
Consider the function.
If the value of
Therefore, the domain of function is all the real numbers except
Put
Calculate x-intercept by equating function to zero.
Therefore, the y- intercept is
In given function degree of numerator is same as degree of denominator.
The leading coefficient of numerator in the function is
Thus, the graph will have line
Equate denominator to zero for vertical asymptotes.
Therefore, the vertical asymptote is
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