SOLUTION: Understanding how rational functions transform and how they are graphed. Really need help understanding how they approach from the different quadrants and why:
(3x(x+8))/(x-5)
Algebra ->
Functions
-> SOLUTION: Understanding how rational functions transform and how they are graphed. Really need help understanding how they approach from the different quadrants and why:
(3x(x+8))/(x-5)
Log On
Question 912015: Understanding how rational functions transform and how they are graphed. Really need help understanding how they approach from the different quadrants and why:
(3x(x+8))/(x-5)(x-2)
(x-3)/(x^2+1)
(x^2+1)/(x-3)
Please explain how the transformations work for these.
Thank you Answer by ewatrrr(24785) (Show Source):
Hi
For ex: f(x) = (x^2+1)/(x-3)
I. Find the y-intercept (0,-1/3)
II. vertical Asymptote: x = 3
III. Consider when f(x) is positive(x > 3) and negative(x < 3)
IV. As to the nature of the Curve itself.
recommend Using a graphing calculator
0r Using
FREE graph software https://www.padowan.dk/download/
until You become familiar with patterns etc
f(x) = (x-3)/(x^2+1)
f(0) = -3
f(x) = Note as x get large..f(x) very small
x-intercept(3,0) F(x) positive x > 3
