What are the holes or upright asymptotes, if any, for the function:

Explanation:

Factorize the numerator for the function:

The removable discontinuity is

since this is a term that deserve to be got rid of from the function. There are no upright asymptotes.You are watching: What are the discontinuities of the function f(x) = ?

Set the removable discontinutity to zero and also solve for the location of the hole.

The feet is situated at:

Explanation:

Rewrite the function

in that factored form.Since the

term can be cancelled, there is a removable discontinuity, or a hole, at .The continuing to be denominator of

indicates a upright asymptote at .

Explanation:

By looking in ~ the denominator of

, there will be a discontinuity.Since the denominator cannot be zero, collection the denominator no equal come zero and solve the value of

.There is a discontinuity at

.To identify what type of discontinuity, inspect if over there is a common aspect in the numerator and denominator of

.Since the typical factor is existent, mitigate the function.

Since the

term deserve to be cancelled, over there is a removable discontinuity, or a hole, at .Explanation:

Start by factoring the numerator and also denominator that the function.

A suggest of discontinuity occurs once a number

is both a zero the the numerator and also denominator.Since

is a zero because that both the numerator and denominator, over there is a point of discontinuity there. To uncover the value, plug in into the final simplified equation. is the suggest of discontinuity.

Explanation:

Start by factoring the numerator and denominator the the function.

A point of discontinuity occurs as soon as a number

is both a zero the the numerator and denominator.Since

is a zero for both the numerator and denominator, there is a suggest of discontinuity there. To discover the value, plug in into the final simplified equation. is the suggest of discontinuity.

Explanation:

Start through factoring the numerator and also denominator that the function.

A allude of discontinuity occurs once a number is both a zero the the numerator and denominator.

Since

is a zero for both the numerator and also denominator, over there is a point of discontinuity there. Because the final role is , and are point out of discontinuity.Explanation:

Start by factoring the numerator and also denominator the the function.

A suggest of discontinuity occurs as soon as a number is both a zero of the numerator and also denominator.

Since

is a zero for both the numerator and also denominator, there is a suggest of discontinuity there. Due to the fact that the final role is , and are point out of discontinuity.Explanation:

Start by factoring the numerator and denominator that the function.

A allude of discontinuity occurs as soon as a number

is both a zero the the numerator and also denominator.Since

is a zero because that both the numerator and also denominator, there is a point of discontinuity there. To uncover the value, plug in into the last simplified equation. is the suggest of discontinuity.

Explanation:

Start by factoring the numerator and also denominator that the function.

A suggest of discontinuity occurs once a number

is both a zero that the numerator and denominator.Since

is a zero because that both the numerator and denominator, over there is a allude of discontinuity there. To uncover the value, plug in into the last simplified equation. is the point of discontinuity.

Explanation:

Start by factoring the numerator and also denominator that the function.

A suggest of discontinuity occurs as soon as a number

is both a zero the the numerator and denominator.Since

is a zero for both the numerator and denominator, there is a suggest of discontinuity there. To uncover the value, plug in into the final simplified equation. is the allude of discontinuity.See more: Why Is The Legend Of Zelda Called The Legend Of Zelda "? The Legend Of Zelda

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