In order to help you enter your answers in interval notation throughout this assignment, note the following:
 
*   If you wish to enter $- \infty$ you need to type - infinity.
 
*   If you wish to enter $+ \infty$ you need to type infinity.
 
*   Use round parentheses ( or ) to exclude endpoints of intervals.
 
*   Use square brackets [ or ] to include endpoints of intervals.
 
*   Use curly braces {5} to include a singleton (such as include the number 5 alone).
 
*   Use the letter U when using two or more intervals in a single answer .
 
*   Always use ( or ) with infinity or -infinity.
 
*   There is some flexibility in how WeBWorK reads these answers, for example you could enter (-ininity,2)U(2,+infinity) or (- INFINITY , 2 ) u ( 2 , INFINITY ) and WeBWorK interprets these to expressions as being equivalent.
 
*   The variable which the interval is referring to is implied in the context of the question. Entering the domain is x   $\ge$   5 or the range is y   $\ge$   5 would both be entered in either context as [5, infinity).

---

Here is an example to practice before moving on to the questions in this assignment.
 
Let   $f(x) = \frac{1}{(x-2)^2}$
 
a) State the domain of f(x) :
      help (intervals)
 
b) State the range of f(x) :
 
You should recall the denominator of a fraction can't be zero, so the domain is all real numbers $x \ne 2$. The range will be $y > 0$. These two answers in interval notation would be answered respectively as (-infinity, 2) U (2, infinity) and (0, infinity). Be sure you are able to enter these answers properly above before trying to enter the rest of your answers.