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A linear function can be determined simply from its form. A linear function, over a set of variables, x1, x2, x3, etc is of the form
a1x1 + a2x2 + a3x3 + ... = b
where a1, a2, a3, etc and b are constants.
In graphical terms the linear function over n variables is a straight line in n-dimensional space.
In 2-d different letter are used instead of subscripts and the equation becomes ax + by = c
This can easily be shown to be equivalent to y = mx + c (though with a different value for c).
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How are linear equations and functions alike?
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
How are functions and linear equations similar?
Linear equations are a small minority of functions.
How are functions like linear equations?
Most functions are not like linear equations.
When can you use linear quadratic functions?
There are linear functions and there are quadratic functions but I am not aware of a linear quadratic function. It probably comes from the people who worked on the circular square.
What are two linear functions?
y = 0 and y = 1 are two linear functions. They're not especially interesting ones.
How do you do linear functions?
By finding something who's behavior is represented by a linear function and graphing it.
Are linear equations and functions different?
All linear equations are functions but not all functions are linear equations.
How are linear equations and functions alike?
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Are all linear equations functions Is there an instance when a linear equation is not a function?
Linear equations are always functions.
How are functions and linear equations similar?
Linear equations are a small minority of functions.
How are functions like linear equations?
Most functions are not like linear equations.
How are linear equations and functions alike and how are they different?
A linear equation is a special type of function. The majority of functions are not linear.
When can you use linear quadratic functions?
There are linear functions and there are quadratic functions but I am not aware of a linear quadratic function. It probably comes from the people who worked on the circular square.
What similarities and differences do you see between the function and linear equations?
Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.
What are non linear functions?
Functions that do not result in a line when graphed.
What are two linear functions?
y = 0 and y = 1 are two linear functions. They're not especially interesting ones.
What are linear functions?
A linear function is of the form y = ax + b
