To find:The domain of function, all intercepts, asymptotes and sketch the graph.
Answer to Problem 24E
The domain of function is all the real numbers, The intercept is
Explanation of Solution
Given information:
The function is
Calculation:
Consider the function.
The function is valid for all the real numbers as denominator can never be zero.
Therefore, the domain of function is all the real numbers.
Put
Since,
Therefore, the y- intercept is
In given function degree of numerator is less than degree of denominator. Thus, the graph will have line
In the given function denominator can never be zero so, vertical intercept is mot available.
Therefore, the horizontal 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, The intercept is
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