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Mathematics 18 Online
Ballery1:

determine the value of *x*, if any, at which each function is discontinuous

Ballery1:

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Ballery1:

only hints plz

Hero:

In this case, the function is discontinuous when the expression in the denominator is equal to zero. So set the expression in the denominator equal to zero then solve for \(x\)

Ballery1:

no factors

Hero:

So what does that tell you?

Ballery1:

let me think

Hero:

If you attempted to solve for \(x\) and got imaginary numbers, then that means what?

Ballery1:

no vertical asymptotes aka discont

Hero:

No vertical asymptotes therefore the function is: A: Continuous or B: Discontinuous

Ballery1:

continuous

Hero:

Correct

Ballery1:

sorry i forgot to put *aka no discont* my bad

Ballery1:

but wait...

Hero:

Because if you graph the function and trace it, there's no need to lift the pencil

Ballery1:

let me check the answer

Ballery1:

yes i remember that rule

Hero:

It should be something like {} which is empty set

Ballery1:

sorry i didn't get what u mean

Hero:

Nevermind. Go ahead and check the answer.

Ballery1:

kkk

Hero:

It should say something along the lines of the function is continuous or it should say there are no x values for which the function is discontinuous

Ballery1:

yup its continus for all real numbers xeR

Hero:

Very good.

Ballery1:

thanks bro

Hero:

No Problemo

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