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Define linear equation and function Are they the same Why or why not?
Wiki User
∙ 13y ago
define "linear equation" and "function."
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Suppose f is a mapping from one set of numbers (the "domain") to another (the "range"). The domain and range may be the same or different.
If, for each and every element in the domain, f assigns one and only one elemnt in the range, then f is a function.
For example, f might be "double the number and then add 23", or "square root the number and then divide by 7". In the second case, the domain cannot have any negative numbers in it (why?).
A linear equation is a function of the form y or f(x) = mx + c where m and c are constants and x and y are variables. The function f maps every value of x in the domain x onto the value y according to the rule: multiply by m and add c.
The equation is called linear because for any pair of values x1 and x2 and the corresponding values y1 and y2, the ratio (y2 - y1)/(x2 - x1) is the constant m.
Wiki User
∙ 13y ago
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How you identify function based from graphs and equation?
An equation is the same as a function. Identifying a functional relationship from a graph is nearly impossible unless it is trivially simple like a linear relationship.
How is graphing a linear equality different from graphing linear equation?
They are the same.
Can a linear equation and a linear Equality be solved the same way?
Yes.
Is the two points form equation the same as linear equation?
The equations are equivalent.
Are system of equations and system of linear equation the same?
No....not necessary
Is a linear equation the same as a function?
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
Is linear function the same as linear equations?
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
Do a linear equation and a function share the same definition?
No. A function need not be linear. For example, y = sin(x) is a function of x but it is not a linear equation.
Is there an instance when a linear equation is not a function?
Yes, a vertical line is linear, but it is not a function, because every point on the line has the same x value.
Are linear equations and functions the same?
No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.
How you identify function based from graphs and equation?
An equation is the same as a function. Identifying a functional relationship from a graph is nearly impossible unless it is trivially simple like a linear relationship.
How are linear inequalities and linear equations the same?
They are not. An inequality cannot, by definition, be the same as an equation.
Can a linear equality and linear equation be solved the same way?
Yes.
Can a linear equation and a linear Equality be solved the same way?
Yes.
How is graphing a linear equality different from graphing linear equation?
They are the same.
Can linear equation and linear equality be solved the same way?
Yes, they refer to the same thing.
Is the two points form equation the same as linear equation?
The equations are equivalent.
