The domain of a function is the set of input or argument values for which the function is real and defined. In simpler terms, the domain is all the values of x that we can plug into the function, keeping the function real and defined. Some examples of values of x that aren’t in the domain are the values of x that cause the function to output an imaginary number or the values of x that cause a zero in the denominator.

**Linear and quadratic functions -**

**Linear and quadratic functions do not have any restrictions on their domain because they are defined and real on all the values of x, unless it’s a piecewise function. That means the domain is , which can also be denoted as .**

For example (click here):

Find the domain of

Domain: or

The function is defined and real on all the values of x.

**Radical and rational functions -**

Radical and rational functions, however, do have restrictions on their domains. Radical functions have a restriction on their domain when the expression under the radical is negative. Rational functions have a restriction on their domain whenever the denominator equals zero.

Let’s see the steps to determine the domain.

__Determining the domain of radical functions:__1. Set the expression inside the radical greater than or equal to 0

2. Solve for x

- This is will find the domain, for which the function is real

__Determining the domain of rational functions:__1. Set the expression in the denominator equal to 0

2. Solve for x

- This will find the values, for which the function is undefined.

Let’s see some examples.

Here’s an example for radical functions (click here):

Find the domain of

1. Set the expression inside the radical greater than or equal to 0

2. Solve for x

or (*)

Domain: or ,or

(*) If ,then and

Here’s an example for rational functions (click here):

Find the domain of

1. Set the denominator equal to 0

2. Solve for x

or

Domain: or or ,or

Note: The domain is the values of x which do not equal 2 or 4, because when x=2 or x=4, the function is undefined (i.e. it causes the denominator to equal 0.

Last example for rational functions (click here):

Find the domain of

1. Set the denominator equal to 0

2. Solve for x

Domain: or ,or

Finding the domains of functions isn’t too hard. As long as you follow the steps and practice finding the domain multiple times, you will be great at this. For more help or practice on this topic visit Symbolab’s Practice.

Until next time,

Leah

Wow!!

ReplyDeleteFirst of all I would like to appreciate your effort behind this helpful and informative post. I hope this share 'High School Math Solutions – Functions Calculator, Domain' about mathematics will be very helpful and useful for the readers in the academic life. And also they can create essays with the help of reviews of essay writing service.

x^2-9\ge 0 that I have found on a dissertation proposal help of math.

ReplyDeleteThe domain of the function is a collection of input or parameter values that the function is true and has been defined. In simple terms online dissertation, the domain is all x values, and we can insert functions that keep the truth and definition of the function.

ReplyDeleteThis is the best and detailed match solution that will be a great dissertation help for my math dissertation.

ReplyDeleteIt is very difficult for students to follow high school maths solutions. It is little bit tough and proper guide is very essential to catch it easily. Expert assistance of best essay writing service reviews

ReplyDeleteEven when we are feeling insufficient we should be relying on such sites for substantial information and this is encouraging. This makes us feel more secure and ready for real world instances. After I have read this, I have discovered that I have much to learn from it. University Admission Cover Letter Writing Help

ReplyDeleteAt this page there is a list of 25 college essay topics. Enjoy :)

ReplyDeleteThis comment has been removed by the author.

ReplyDeleteThis is one of the best mathematical blogs that have visited and they aid in learning different mathematical concepts. I hope that students who are struggling to write their mathematical assignments will access the information on this site. Alternatively, they can hire our professional mathematics tutors by clicking on Oral Presentations Experts.

ReplyDeleteIt is exceptionally troublesome for understudies to take after secondary school maths arrangements. It is tiny bit intense and legitimate guide is extremely basic to get it effortlessly. Master help of Write my Dissertation.

ReplyDeleteI appreciate it!. I really like it when people get together and share ideas. Great website, continue the good work!. Either way, great web and I look forward to seeing it grow over time. Thank you so much.

ReplyDeletesuper smash flash 2

bloons tower defense 5

High School Solutions – Functions Calculator,easy to clean high chair Inverse. Last blog posts, we focused on how to find the domain and range of functions. In this blog post, we will discuss inverses of functions and how to find the inverse of a function. An inverse of a function.

ReplyDeleteThis comment has been removed by the author.

ReplyDeleteI have to say that math was not my very favorite subject, but if i had found a page like this offering information on high school math solution functions, i would have found it easy to handle various issues. This post is beneficial, and so is another one on online assignment writing aid. This is a page to visit if you need the best assignment writing services.

ReplyDeleteThere are so many services in which we have to manage something really reliable due to make sure that we should be a great support in which we have something different in a proper house

ReplyDeletebuy dissertation online

This is the really great post, I like Black Friday Deals

ReplyDeleteدرب ضد سرقت را مي توان به سليقه مشتري با هر طرحي توليد كرد اين طرح مي تواند شامل شيشه باشد يعني درب ضد سرقت شيشه خور حال بايد مشتري به نسبت كالاي مورد احتياج خود طرح درب ضد سرقت را طراحي كرده و كاليبره شده براي ما ارسال كند و گروه فني مستقر در كارخانه تغييرات لازم را در ان اعمال كرده و با هماهنگي با مشتري و پس از تاييد تغييرات توسط مشتري دستور ساخت در ضد سرقت صادر شده حال در اين راستا بايد به چند نكته توجه شود اول اينكه درب ضد سرقت نبايد حلالي شكل باشد و قابل ساخت نيست. ودوم اينكه اگر در درب ضد سرقت شيشه استفاده شود عرض شيشه نبايد از سر يك انسان بيشتر شود تا فرد سارق نتواند با شكستن شيشه وارد منزل شود و همچنين عرض بازشوي درب ضد سرقت نيايد بيشتر از 115 سانت باشد و اگر عرض بيشتري مورد نياز است بايد از لنگه هاي بيشتري استفاده شود در درب ضد سرقت

ReplyDeleteبرگرفته از سایت - reference

درب ضد سرقت

درب ضد سرقت

درب ضد سرقت

بهترين درب ضد سرقت ايراني چيست

ReplyDeleteنظر قطعي در مورد بهترين درب ضد سرقت ايراني نميتوان داد ولي به طور كلي هر درب هايي كه در ان از ورق فولادي ترجيحا فولاد ايراني شركتي استفاده شده باشد و نيز سازنده ان درب را با استاندارد كارخانه اي ساخته باشد مي تواند جزو يكي از بهترين هاي درب ضد سرقت ساخت داخل باشد

برگرفته از سایت - reference

درب ضد سرقت ايراني

I am highly grateful to you. Loved this post.

ReplyDeleteChristmas Creek Kari Matchett Coat

Christmas Creek Steven Weber Jacket