Login

Contact Us
PreCalculus
Have PreCalculus Questions? Ask a PreCalculus Tutor
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:
8838
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:
4 years ago.
Category:
PreCalculus
Share this conversation
Expert:
Ryan
replied 4 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 and other PreCalculus Specialists are ready to help you
Ask your own question now
Share this conversation
Related PreCalculus Questions
Question
Date Submitted
Help with Algebra & Trigonometry
10/23/2016
10/24/2016
Ryan
I have a geometry question. I have two parallel lines cut by
10/13/2016
10/13/2016
Ryan
Help with Algebra and Trigonometry
10/9/2016
10/9/2016
Ryan
I have a function: f(x,y)=[ ((x^22y^2+4)^(1/2)) /
10/7/2016
10/7/2016
Ryan
A circle has the equation 4(x4)^2+4y^2=4. find the center
9/30/2016
9/30/2016
Mr. GLENN
Urgent math help precal/trig
9/28/2016
9/28/2016
Ryan
Another one...Let me know if this is doable!
9/24/2016
9/25/2016
Ryan
Need tomorrow by midnight!
9/17/2016
9/18/2016
Ryan
Need help with college algerbra
9/17/2016
9/17/2016
Mr. GLENN
The product of two numbers is given by P= xy and the sum of
9/15/2016
9/15/2016
Ryan
X
Ask a Tutor
Get a Professional Answer. 100% Satisfaction Guaranteed.
54 Tutors are Online Now
Type Your PreCalculus Question Here...
characters left: