What are the similarities and differences between functions and linear equations?
Since this is not my area of expertise, I searched Google under the key words "similarities differences between functions linear equations" to get this:
http://www.google.com/search?client=safari&rls=en&q=similarities+differences+between+functions+linear+equations&ie=UTF-8&oe=UTF-8
In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.
I need help with rewriting a relation so it is a function!!!!!
for example { (1,3), (-8, 7), (2,3), (1, -6), (0,0), (5,3) }
I am lost and need help quick
2g-3h=0
3g-2h=5
okay, so if you have a arithmetic sequence you have the numbers to get your full sequence but a linear equation can provide and equation to get the arithmetic sequences, so it is part of an arithmetic sequence, but they are different because they both have a different concept that are used for different sequences
Functions and linear equations are both fundamental concepts in mathematics, but they have some similarities and differences.
Similarities:
1. Both functions and linear equations involve variables and relationships between those variables.
2. They can both be used to model real-world situations and solve problems in various fields such as physics, economics, and engineering.
Differences:
1. Structure: A linear equation represents a straight line when graphed on a coordinate plane, while a function does not have this restriction. A function can take various forms and shapes when graphed.
2. Variable dependency: In a linear equation, there is a direct and constant relationship between the variables. Each variable has a coefficient that represents its effect on the other variable(s). In contrast, functions can have different dependencies between variables, such as exponential, quadratic, or logarithmic relationships.
3. Domain and range: A linear equation may have restrictions on the values that the variables can take, depending on the context. However, a function has a domain, which is the set of input values, and a range, which is the set of output values.
4. Representation: Linear equations are typically represented in the form y = mx + b, where m is the slope and b is the y-intercept. On the other hand, functions can be represented in various forms, such as an equation, table, or graph.
To determine the similarities and differences between functions and linear equations, one can analyze their characteristics, definitions, and representations. It is essential to understand the properties and rules associated with each concept to make accurate comparisons.