Alg7.1.2

From Exampleproblems

First, find the critical points. These are the numbers that make the top or bottom of the fraction equal zero.

The top equals zero if . In this case the value of the left hand side is zero.

The bottom equals zero if . It is against the rules to let the bottom of a fraction equal zero. So at this point the function is undefined.

Test easy points in the intervals as well as the critical points themselves to see if they give an answer less than or equal to zero. One point in an interval gives the same sign as any other point in the same interval.

gives a negative number, so all these numbers are included.

gives 0 so it is included.

gives a positive number, so these numbers are not included.

gives an undefined fraction, so it is not included.

gives a negative number, so all these points are included.

The answer is

Interval notation:

Inequality notation:

Algebra

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