INPUT ARTICLE: Article: The domain is defined as the set of input values for which the function produces an output value. In other words, the domain is the full set of x-values that can be plugged into a function to produce a y-value. The type of function will determine the best method for finding a domain. Here are the basics that you need to know about each type of function, which will be explained in the next section: A polynomial function without radicals or variables in the denominator. For this type of function, the domain is all real numbers. A function with a fraction with a variable in the denominator. To find the domain of this type of function, set the bottom equal to zero and exclude the x value you find when you solve the equation. A function with a variable inside a radical sign. To find the domain of this type of function, just set the terms inside the radical sign to >0 and solve to find the values that would work for x. A function using the natural log (ln). Just set the terms in the parentheses to >0 and solve. A graph. Check out the graph to see which values work for x. A relation. This will be a list of x and y coordinates. Your domain will simply be a list of x coordinates. The proper notation for the domain is easy to learn, but it is important that you write it correctly to express the correct answer and get full points on assignments and tests. Here are a few things you need to know about writing the domain of a function: The format for expressing the domain is an open bracket/parenthesis, followed by the 2 endpoints of the domain separated by a comma, followed by a closed bracket/parenthesis.For example, [-1,5). This means that the domain goes from -1 to 5. Use brackets such as [ and ] to indicate that a number is included in the domain. So in the example, [-1,5), the domain includes -1. Use parentheses such as ( and ) to indicate that a number is not included in the domain. So in the example, [-1,5), 5 is not included in the domain. The domain stops arbitrarily short of 5, i.e. 4.999 Use "U" (meaning "union") to connect parts of the domain that are separated by a gap.' For example, [-1,5) U (5,10]. This means that the domain goes from -1 to 10, inclusive, but that there is a gap in the domain at 5. This could be the result of, for example, a function with "x - 5" in the denominator. You can use as many "U" symbols as necessary if the domain has multiple gaps in it. Use infinity and negative infinity signs to express that the domain goes on infinitely in either direction. Always use ( ), not [ ], with infinity symbols. Keep in mind that this notation may be different depending on where you live. The rules outlined above apply to the UK and USA. Some regions use arrows instead of infinity signs to express that the domain goes on infinitely in either direction. Usage of brackets varies wildly across regions. For example, Belgium uses reverse square brackets instead of round ones.

SUMMARY: Learn the definition of the domain. Learn how to find the domain of a variety of functions. Correctly state the domain.

In one sentence, describe what the following article is about: Look at the positives and negative outcomes that could come from a decision you're making. You can either do it mentally if you need to make a quick decision, or you can write down a pros and cons list to determine what's best for you to do. Weigh your options to see which choice will give you the best possible outcome. For example, if someone offers you an alcoholic drink and you're too young, the rewards may be hanging out with them and having a free drink, but the risks are you could get in trouble with the law. The best and most common-sense decision is to say no to the drink. Sometimes, your gut reaction may be the best for you to do. Whenever you're faced with a decision, take notice of what your first instinct or answer is. Think about what good or bad consequences could come from the decision, and if the decision seems like the best one, then make it. For example, if someone offers you an alcoholic drink and you're underage, your first thought is usually that you shouldn't drink because you'd get in trouble if you get caught. You may notice that it seems easier to give advice to a friend than it is to tell yourself the same thing. When you're faced with a tough decision, mentally take a step back and pretend that you're watching someone else in your situation. Think about what you would tell them based on what's the smartest or best decision for them. If the decision is something you wouldn't tell a friend to do, then you shouldn't make it either. For example, if you found a jacket at school that isn't yours but you want to keep, think about what you would tell a friend if they found the jacket. You would most likely tell them to return it to a lost and found, so you should make the same decision. It's okay if you don't know what to do if you're faced with a tough decision. Reach out to a parent/guardian, guidance counselor, or a friend you trust and tell them the situation you're facing. Talk through your possible decisions with them so you can get their input since they may have more life experience and could have faced a similar choice at some point. For example, you could ask, "Mom, I'm having trouble knowing what's the right decision to make. Could we talk about it?" Only get feedback from people who are a good influence on you, since someone who makes poor decisions may not give feedback that's common sense. Everybody makes mistakes and decisions they regret, but that doesn't mean all is lost. If you recognize that you've made a poor decision, reflect on it and recognize what choice you should have made for the best outcome. If you ever have a similar decision in the future, make the better choice rather than the one you made the last time. For example, if you chose to wear sneakers to the beach and you got sand in your shoes, next time you go to the beach you'll wear flip flops instead.
Summary: Compare the risks and rewards of a decision before choosing what to do. Trust your initial feelings so you don't over-analyze things too much. Look at your situation from another perspective to think through it clearly. Ask someone you trust for feedback if you aren't sure about your decision. Realize that it's okay to make a wrong decision every now and then.

INPUT ARTICLE: Article: If there will be other guests present at the birth, ask the mother who she has invited so that you can anticipate the environment during delivery. If she has invited her children, ask if she would like you to take charge of watching them or taking care of them during and shortly after the delivery so that she is not worried about monitoring them. If someone with whom you do not get along well has been invited, consider whether you should attend the birth; inviting your personal drama into the birth experience may be uncomfortable for the mother and other guests at the birth. Some women may want your encouragement while others may prefer to simply have you stand back and stay quiet. Although this may always change once childbirth begins, it is good to have an idea of what the mother expects your role to be in advance. If you are close friends or siblings with the mother, do not assume she included an implied invitation for your spouse or children to attend. If you are the partner of the woman delivering, do not assume that you can invite your parents or additional guests without the mother's permission. She may resent you for doing such during or after birth.

SUMMARY:
Ask about the mother's guest list. Find out how she expects you to behave. Do not assume the invitation is extended to your family or significant other.