SOLUTION: Hello,
Kindly ask someone to help me with the following problem.
Study the function and represent it graphically: {{{f(x)=(x)/(x-1)+(1)/(x+1)-x-(1)/(3)}}}
Thank you very m
Algebra ->
Functions
-> SOLUTION: Hello,
Kindly ask someone to help me with the following problem.
Study the function and represent it graphically: {{{f(x)=(x)/(x-1)+(1)/(x+1)-x-(1)/(3)}}}
Thank you very m
Log On
Question 1117633: Hello,
Kindly ask someone to help me with the following problem.
Study the function and represent it graphically:
Thank you very much!
Note that the function will have vertical asymptotes at and . As the independent variable approaches -1 from the left, the value of the function will be a large negative number, and from the right, a large positive. Approaching 1 from the left is also a large negative, and from the right, a large positive.
Evaluating we get
Applying the common denominator of and adding all of the fractions (verification of this step left as an exercise for the student), we simplify to:
So we note that as increases and decreases without bound, the function begins to behave very much like .
John
My calculator said it, I believe it, that settles it
