Six is the Number

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by Dr. Charice Hayes, CEO

All 4 One Tutoring™ has made it to 6 years in business. Just to think 6 years ago we were solely an online tutoring company mostly servicing international clients. Now 6 years later, we offer so much more (face-to-face tutoring, after-school programming, professional development and training, and writing services). Thanks to a team of people, we were able to expand our services both in B2C (business to consumer) and B2B (business to business).

According to Forbes, 7 out of 10 new small business employer firms survive at least 2 years, half at least 5 years, a third at least 10 years, and a quarter stay in business 15 years or more. All 4 One Tutoring made it over the 5 year mark as a small business. We have so much in store over the next 4 years when we’ll be in our 10th year of operation. Thank you to every tutor, teacher, manager, and partner who have played an integral role. Happy 6 Years in Business!

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Connecting with Our Clients

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by Dr. Charice Hayes

Our clients are an integral part to our success. All 4 One Tutoring not only makes sure that every client is compatible with his or her tutor, but we ask our clients what is their preferred method for communication.

Believe it or not, emailing and texting are the top two preferred methods of communication from our clients. One of our client’s parent stated that emailing works best for her because she can have something to refer back to versus not having that option via phone calls.

Another preferred method of communication from our clients is text messaging. Everyone is texting nowadays. According to Nielsen and Pew Internet Research, texting is one of the most popular activity’s on a smartphone. You can even have your doctor’s appointments and reminders text messaged to you. We have a smartphone that is solely used for text messaging.

As a business owner, ask your consumers and potential consumers what is their preferred method of communicating/contacting. ☎️📧📱

A New School Year

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by Intern

Well, a new school year is upon us. All 4 One Tutoring is prepping for another awesome and meaningful school for our clients and potential clients. We are so excited!

We began to test our iPads, tablets, and headphones. They get the most usage in our after-school program. We do so many engaging and enriching activities with them!

Testing, testing

Collaboration

Pairing activities not only engages students, but they also show how students can support on another to complete a task or assignment.

Pairing activity

School Supplies

For those school-aged clients who participated in our summer learning tutoring, we supplied them with a back-to-school package. We want to send them starting the new school year on the right foot.

Supplies

All 4 One Tutoring LLC 's mission is to educate and empower those who want to have a positive social change and succeed to the best of his or her ability.

Summer and Job Postings 

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by Staffer 

The summertime is here!! School has ended for most students. However, just because school has ended doesn’t mean that learning ends. All 4 One Tutoring LLC will have summer tutoring. 

For school-aged children, we will align sessions to entering grade Common Core State Standards. We have two research-based curriculums that we will use for sessions. Having learning/tutoring sessions will avoid Summer Slide

All 4 One Tutoring LLC will also have sessions for adults. Whether you want to learn a language, prepare for the accuplacer, or even the GED exam, we have you covered! 

Job Postings 

Company Trainer 

We’re seeking a contractual company trainer or trainers who will be responsible for training incoming employees and contractors and conducting trainings throughout the year. We’re seeking someone who will be able to do trainings in Maryland (mainly Baltimore City and County) and someone who will be able to do remote (online) trainings. If you’re able to do both, please state that in your cover letter. If interested, please send us your cover letter and resume to hr@all4onetutoring.com. 


Marketing Intern 

We’re in need of a marketing intern. This internship can be remote or face-to-face. This internship will start unpaid and will become paid after 30 days. Visit our webpage for more details. 


  

What are Functions?

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Functions are an important concept and are therefore, heavily tested on the new SAT. It is important to become proficient with them. But, what is a function anyway? In mathematics, a function relates to an output that resulted from an input. It is like in computer science when you learn about input and output devices and the relationship between both. For example, you put in an input into the computer in the form of instructions, and it resulted in an output in the form of a printed document. In the real world context, other ways in which the concept of functions occurs it in factories where you have large machinery. The machines work in the same context of input and output.

A function is usually denoted by “f(x) =…” , the f, is not unique and any letter can be used.

A function has three main parts:

  1. The input
  2. The relationship
  3. The output

Example: “Multiply by 4” is a very simple function you can grasp.

Input = 5, Relationship = × 4, Output = 20.

Consider this: For an input at 40 what is the output?

Examples of functions

f(x) = x2 + 3

g(x) = 2x – 7

The above definition of a function is considered as the basic understandable definition. It goes deeper. A function may also be considered as a relation that uniquely maps one member of a domain unto another member of a range which is a subset of a codomain. This means, if you have a function which maps set A to B, it is an object f such that   is mapped onto one or more members of the range such that. The range is part of a codomain. This means that a function can be a many to one or one to one relation. If you have a one to many relation that is not a function. Let us look at range, domain and codomain to get a better understanding of the aforementioned definition. But first let us look at one to one and one to many mapping.

Understanding the difference between the range and the codomain is very critical. It even becomes more critical when doing further math such as pre-calculus where a function is undefined.

Example 1

What is the domain and range of the function: f(x) = 2x2 + 6?

To answer this question, you need to think about all the possible values than can be inputted into the function and get an output. By looking at the function you realize than any real number can be placed into the function to produce an output. Also, you may also realize that the set of integers can also be used. If you use any random integer for example -3, you can check

Thus f(-3) = 2(-3)2 + 6

= 2(9) + 6

= 18 + 6

= 22

You may also notice that all the output for the set of real numbers will be the same for the set of integers because of the x2. Therefore the domain is the set of integers. Since the set of real numbers is a subset of the set of integers, we can exclude it. Note that the domain does not have one set definition, because it could also be the set of counting number, whole numbers, etc. However for the range, you will never get a negative output, so the range could never be the set of integers, but it could possibly be the set of even numbers, however the range is the set {8, 14, 22…}. Though the question didn’t ask, but the codomain could be the set of counting numbers, since the output could be any possible counting number.

Evaluating Functions

Evaluating functions is quite simple, all you need to do, if plug in the value that is given, substitute the value for I, then solve the equation.

Example 2

Function f is defined by
f(x) = – 2x2 + 6x – 3, find f(- 2).

What you do in this instance, you substitute -2 for ‘x’ in the function then solve

= -2(-2)2 + 6(-2) – 3

= -2(4) – 12 – 3

= -4 – 12 – 3

= – 19

Example 3

Two functions f and g is defined by

f(x) = 2x + 7 and g(x) = -5x – 3, find (f + g)(x).

When you look at the question it might seem hard, but it is quite simple. You may note that (f + g)(x) denotes is the product of two numbers ideally. It can be expanded as such

(f + g)(x) = f(x) + g(x). As such, this is in a form that we can understand therefore it is:

f(x) + g(x) = (2x + 7) + (-5x – 3). Note: the brackets are there to show the two distinct functions

2x + 7 – 5x – 3 by grouping like terms”

2x – 5x + 7 – 3

= – 3x + 4

Therefore (f + g)(x) = – 3x + 4

Example 4

Two functions f and g is defined by

f(x) = 2x2 – 3x and g(x) = x + 1, find f (g)(-3).

What you see above is called a function of a function. It is quite easier than it looks. What is means that wherever you see x in function f, you are going to plug put the g function then plug in -3. Therefore:

f (g)(x) = 2(x + 1)2 – 3(x + 1). Thus, we first put the g function in the f function. Now we evaluate for:

f (g)(-3) = 2(-3 + 1)2 – 3(-3 + 1)

= 2(-2)2 – 3(-2)

= 2(4) + 6

= 8 + 6

= 14

Therefore f (g)(-3) = 14

If we were not asked to evaluate f (g)(-3), but just find f (g)(x)

The answer would just be: 2(x + 1)2 – 3(x + 1).

You may also note that a function can be graphed and in that context, the x is the domain and y is the range so sometimes you will see that f(x) = y.

Range, Domain and Codomain

The first diagram represents a one to one mapping, where each element of X maps exactly onto one Element of Y. The second diagram represents aone to many mapping where one element of X maps onto one of more element of Y.

A domain is simply all the possible values that can be inputted into a function to produce an output.

The range is simply all the output of a function.

The codomain is all the possible outcomes or output from a function.

 

For more awesome SAT math concepts review, visit our blog: http://exammasters.ca/category/math/

For a FREE SAT Math Practice Test: http://exammasters.ca/free-sat-math-practice-test/

 

We’re Semi-finalist! 

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by staff contributor 

All 4 One Tutoring is so grateful to be semi-finalist in Idea Cafe’s small business grant. We have made it through a very competitive initial round of selection by a panel of expert judges to advance to the semi-finalist. This is a very exciting time for us!
Please make sure to support and vote for us. The grant money will allow us to expand and reach others in order to build strong lives. Go to http://www.businessownersideacafe.com/18th-small-busines-grant/voting?profile=17809 to cast your vote.