Q: When a denominator is zero is the expression undefined?

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A zero. Zero in the denominator make the expression undefined for algebraic purposes.

You do not. If you do, the expression is undefined: it has no value.

Yes, it is true.

When the denominator is equal to zero, the expression is undefined. Close to those places, the expression tends towards plus infinity, or minus infinity. In other words, setting the denominator to zero will tell you where there are vertical asymptotes.

a value of zero in the denominator makes the fraction undefined

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A zero. Zero in the denominator make the expression undefined for algebraic purposes.

True

You do not. If you do, the expression is undefined: it has no value.

A rational expression is not defined whenever the denominator of the expression equals zero. These will be the roots or zeros of the denominator.

False

Yes, it is true.

When the denominator is equal to zero, the expression is undefined. Close to those places, the expression tends towards plus infinity, or minus infinity. In other words, setting the denominator to zero will tell you where there are vertical asymptotes.

A fraction such that the divisor (denominator) is zero is undefined. Such a division is expressed as x/0 where x is the dividend (numerator). In ordinary arithmetic, the expression has no meaning so division by zero is undefined.

a value of zero in the denominator makes the fraction undefined

The answer depends on the part of the question that is missing.

1

If the denominator has a zero value.