Login

Contact Us
PreCalculus
Ask a PreCalculus Question, Get an Answer ASAP!
Not a PreCalculus Question?
How JustAnswer Works:
Ask an Expert
Experts are full of valuable knowledge and are ready to help with any question. Credentials confirmed by a Fortune 500 verification firm.
Get a Professional Answer
Via email, text message, or notification as you wait on our site.
Ask follow up questions if you need to.
100% Satisfaction Guarantee
Rate the answer you receive.
Ask Ryan Your Own Question
Ryan
,
Engineer
Category:
PreCalculus
Satisfied Customers:
8132
Experience:
B.S. in Civil Engineering
40260889
Type Your PreCalculus Question Here...
Ryan is online now
Algebra Question: What are the differences among expressions,
Resolved Question:
Algebra Question:
What are the differences among expressions, equations and functions? Provide examples of each. (provide detailed insight and mathematical examples to answer these)
Submitted:
3 years ago.
Category:
PreCalculus
Share this conversation
Expert:
Ryan
replied 3 years ago.
Hi,
Thank you for using JustAnswer.
An algebraic
expression
is a collection of numbers, variables, and operators (addition, subtraction, multiplication, division, exponentiation, etc) which represent some value.
For example, the following are expressions:
3 + 4 (which represents the value 7)
x + y (which represents the sum of the values of the variables x and y)
5x (which represents the product of 5 and the value of the variable x)
x/y (which represents the quotient of the value of the variable x and the value of the variable y)
An
equation
is a pair of expressions which are connected by an equal sign (=). An equation states that the expression on one side of the equal sign has the same value as the expression on the other side.
For example, the following are equations:
x = 3
x + y = 4
a² + b² = c²
k = 5a²/b
A
function
is a particular type of equation. A function relates the value of an independent variable, typically denoted as "x", to the value of a dependent variable, typically denoted as "y" or "f(x)" (which is shorthand notation for "function of x"). While this is very similar to the concept of an equation, a function speaks more to the idea of an input value leading to an output value.
One distinguishing characteristic of a function is that there can be one, and only one, output value for any individual input value. For this reason, an equation such as y = √(16  x)² (which is the equation of a circle) is not a function, because for almost every value of x where the function is defined there are two possible values of y.
Examples of functions include:
y = mx + b
f(x) = x²
y = 3x³ + x² + 4x + 6
g(x) = log (x)
Please feel free to ask if you have any additional questions about this.
Thanks,
Ryan
Ryan, Engineer
Category:
PreCalculus
Satisfied Customers:
8132
Experience:
B.S. in Civil Engineering
Ryan and other PreCalculus Specialists are ready to help you
Ask your own question now
Share this conversation
JustAnswer in the News:
Askadoc Web sites: If you've got a quick question, you can try to get an answer from sites that say they have various specialists on hand to give quick answers... Justanswer.com.
JustAnswer.com...has seen a spike since October in legal questions from readers about layoffs, unemployment and severance.
Web sites like justanswer.com/legal
...leave nothing to chance.
Traffic on JustAnswer rose 14 percent...and had nearly 400,000 page views in 30 days...inquiries related to stress, high blood pressure, drinking and heart pain jumped 33 percent.
Tory Johnson, GMA Workplace Contributor, discusses workfromhome jobs, such as JustAnswer in which verified Experts answer people’s questions.
I will tell you that...the things you have to go through to be an Expert are quite rigorous.
What Customers are Saying:
Wonderful service, prompt, efficient, and accurate. Couldn't have asked for more. I cannot thank you enough for your help.
Mary C.
Freshfield, Liverpool, UK
<
Last

Next
>
Wonderful service, prompt, efficient, and accurate. Couldn't have asked for more. I cannot thank you enough for your help.
Mary C.
Freshfield, Liverpool, UK
This expert is wonderful. They truly know what they are talking about, and they actually care about you. They really helped put my nerves at ease. Thank you so much!!!!
Alex
Los Angeles, CA
Thank you for all your help. It is nice to know that this service is here for people like myself, who need answers fast and are not sure who to consult.
GP
Hesperia, CA
I couldn't be more satisfied! This is the site I will always come to when I need a second opinion.
Justin
Kernersville, NC
Just let me say that this encounter has been entirely professional and most helpful. I liked that I could ask additional questions and get answered in a very short turn around.
Esther
Woodstock, NY
Thank you so much for taking your time and knowledge to support my concerns. Not only did you answer my questions, you even took it a step further with replying with more pertinent information I needed to know.
Robin
Elkton, Maryland
He answered my question promptly and gave me accurate, detailed information. If all of your experts are half as good, you have a great thing going here.
Diane
Dallas, TX
Meet The Experts:
Mr. Gregory White
Master's Degree
Satisfied Customers:
153
M.A., M.S. Education / Educational Administration
<
Last

Next
>
http://ww2.justanswer.com/uploads/ED/educatortech/201267_1256_williams4.64x64.jpg
Mr. Gregory White's Avatar
Mr. Gregory White
Master's Degree
Satisfied Customers:
153
M.A., M.S. Education / Educational Administration
http://ww2.justanswer.com/uploads/CO/CosumelEyes/201254_4923_Profile.64x64.jpg
Ray Atkinson's Avatar
Ray Atkinson
Bachelor's Degree
Satisfied Customers:
44
Innercity high school substitute teacher. Degrees in mathemetics, accounting, and education. Years and years of tutoring.
http://ww2.justanswer.com/uploads/mhasan420/2010123_19189_topi.jpg
mhasan420's Avatar
mhasan420
Master's Degree
Satisfied Customers:
37
BA Maths, Oxford
http://ww2.justanswer.com/uploads/SO/sonofGauss/201266_20151_PortraitLHW.64x64.jpg
JACUSTOMERyrynbdjl's Avatar
JACUSTOMERyrynbdjl
Master's Degree
Satisfied Customers:
13
I have taught college Mathematics for the past 10 years.
http://ww2.justanswer.com/uploads/ME/mesosphereman/2013228_12025_EarthfromApollo17small.64x64.jpg
Martin's Avatar
Martin
Physicist
Satisfied Customers:
44
20+ years of research, engineering and teaching
http://ww2.justanswer.com/uploads/MA/manas11/JA.64x64.JPG
manas11's Avatar
manas11
Bachelor's Degree
Satisfied Customers:
12
Tutor & Engineer
/img/opt/shirt.png
MathJohn's Avatar
MathJohn
PhD in Statistics
Satisfied Customers:
211
MS and BS in Math.
Related PreCalculus Questions
Question
Date Submitted
For Ryan only. Algebra math problems test only
6/30/2015
7/2/2015
Ryan
For Ryan, Can you please help me with another week's
6/30/2015
6/30/2015
Ryan
Show All calculation!!1. Solve the following Expression 5
6/25/2015
6/26/2015
Ryan
For Ryan, Can you help me for this week's assignment please?
6/22/2015
6/30/2015
Ryan
1. Write the slopeintercept form of the equation of the
6/7/2015
6/7/2015
Ryan
needing helping with online exam 07 algebra.
5/31/2015
5/31/2015
Ray Atkinson
needing help with assignment algebra.
5/29/2015
5/29/2015
Ryan
hi
5/14/2015
5/14/2015
Ryan
Ryan, I need help with this exponential question: A bowl of
5/9/2015
5/9/2015
Ryan
For Ryan, need for tomorrow by midnight...
5/9/2015
5/10/2015
Ryan
Chat Now With A Tutor
Ryan
670 Satisfied Customers
B.S. in Civil Engineering
X
Ask a Tutor
Get a Professional Answer. 100% Satisfaction Guaranteed.
60 Tutors are Online Now
Type Your PreCalculus Question Here...
characters left: