onegirl
Explain why each function is discontinuous at the given point. f(x) = x/x - 1 at x = 1
Delete
Share
This Question is Closed
Lethal
Best Response
You've already chosen the best response.
0
so what is discontinuous?
onegirl
Best Response
You've already chosen the best response.
0
you mean the word discontinuous or?
Lethal
Best Response
You've already chosen the best response.
0
yeah
onegirl
Best Response
You've already chosen the best response.
0
well it means having a gap... missing doesn't continue
Lethal
Best Response
You've already chosen the best response.
0
i don't get it. why would this function be discontinuous
onegirl
Best Response
You've already chosen the best response.
0
because its saying that at point 1 it breaks its doesnt continue the line, so you have to explain why? why it broke?
onegirl
Best Response
You've already chosen the best response.
0
@zepdrix can u help?
zepdrix
Best Response
You've already chosen the best response.
0
\[\large f(x)=\frac{x}{x-1}\]
In the land of math, we are never allowed to divide by 0.
If we let \(x=1\), it turns the denominator into \(0\).
Which gives us a fraction of the form \(\dfrac{1}{0}\), which is no beuno!!
See how we're dividing by 0?
So we say that the function is undefined, or in other words, has a `discontinuity` at x=1.
zepdrix
Best Response
You've already chosen the best response.
0
If we were to look at it graphically, it forms an asymptote at x=1.
Remember what type of discontinuity that is?
onegirl
Best Response
You've already chosen the best response.
0
infinite right? lol
zepdrix
Best Response
You've already chosen the best response.
0
yes good c:
onegirl
Best Response
You've already chosen the best response.
0
ok thanks
Lethal
Best Response
You've already chosen the best response.
0
Good Good.