Surnmarize the pertinent information oblained by applying the graphing strategy and sketch the graph of \( f(x)=\frac{x+3}{x-3} \). A. There is a local minimum at \( x=\square \). There is no local maximum. (Type an integer or a decimal. Use a comma to separate enswers as needed.) B. There is a local maximum at \( x=\square \) and there is a local minimum at \( x=\square \). (Type integers or decimals. Use a comma to separale answers as needed) C. There is a local maximum at \( x=\square \) There is no local minmum. (Type an inleger or a decimal Use a comma to scparate answers as needed.) D. There are no local extrema
Upstudy AI Solution
Answer
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Answered by UpStudy AI and reviewed by a Professional Tutor
Bonus Knowledge
To summarize the pertinent information from the function \( f(x) = \frac{x+3}{x-3} \): The graph of the function reveals crucial features such as vertical asymptotes and intercepts. The vertical asymptote occurs at \( x = 3 \), where the function is undefined, while the horizontal asymptote is at \( y = 1 \). As \( x \) approaches \( 3 \) from the left, \( f(x) \) tends to negative infinity, and as \( x \) approaches from the right, \( f(x) \) tends to positive infinity. Consequently, the function does not have any local maxima or minima in its domain. Thus, the answer is that there are no local extrema.
