How to make this piecewise continuous (multiple variables, lines)

f(x) = (x-3)(x-2)(x+1), .....................AND x doesn't equal (equal with the line going across it) -1, 3

.........____________

..........(x+1) (x-3)

4px-2 ....x=-1

5mx² - 2x .....x=3

**This is no calculator and the answer isn't as important as knowing the steps to do it. I'm confused as to which number (-1 or 3) I set x equal to before setting the functions equal to eachother.**

Re: How to make this piecewise continuous (multiple variables, lines)

already is peicewise continuous. I assume the problem is actually asking how to make it continuous.

Here are some questions for you. I'm going to define a function on the same domain. Let .

First Question: What's the relationship, if any, between and ?

Second Question: Can you think of a continuous function defined on all of that equals on 's domain of ( ?

In other words, find a function such that is continuous everywhere, and for all .

What you're dealing with is something called a "removeable discontinuity", for reasons you'll hopefully soon understand. For now, classify these problems under "So Simple They're Confusing".

Re: How to make this piecewise continuous (multiple variables, lines)

Quote:

Originally Posted by

**johnsomeone** already is peicewise continuous. I assume the problem is actually asking how to make it continuous.

Here are some questions for you. I'm going to define a function on the same domain. Let

.

First Question: What's the relationship, if any, between

and

?

Second Question: Can you think of a continuous function defined on all of

that equals

on

's domain of

?

In other words, find a function

such that

is continuous everywhere, and

for all

.

What you're dealing with is something called a "removeable discontinuity", for reasons you'll hopefully soon understand. For now, classify these problems under "So Simple They're Confusing".

I gotta be honest with you, I have no idea what you're talking about lol.

It asks " Find the value of f k,m that will make f(x) continuous everywhere."

I figure you'd have to set the functions equal to eachother and insert an x value to solve for p and then solve for m after setting the first and third functions equal to eachother.

Am I wrong? How is this done. I have a test tommorow and I just found out there might be a question on this tommorow. (Although most will be straightfoward limits)

Re: How to make this piecewise continuous (multiple variables, lines)

OK, I thought you had 3 separate questions there. What you wrote didn't make much sense - I thought I'd deciphered it, but it seems I did so incorrectly.

If you're going to get help, people will have to understand your problem. For instance, you said the problem was posed as "Find the value of f k,m that will make f(x) continuous everywhere." How can I help you find k when your post doesn't even have a k?

Do you think you understand the problem you're asking about? - Not how to solve it, but what it even means? If you could clarify what the problem actually is, maybe we could try again.

-----

?? Might the problem be asking this:

when

when

when

Find the values of and , and values of and , so that is continuous. Could that be the problem?