What is a linear function?
2 Answers
A linear function is one that graphs to a straight line.
Explanation:
If a function is graphed to a straight line, it is a linear function. If there is any curve or random dip in the graph, it is not linear. None of the variables in a linear function can have an exponent or power to them. Also, a linear function must have one or two variables. If there is a third one, the third one can only be known variable or a constant. So this means the third variable can only be a lone number or variable with a known value.
An example of a linear function is y=3x. X and y are variables and 3 is the third variable with a known value.
A linear function is a polynomial of degree
Explanation:
A linear function of one variable has a graph which is a straight line and defined slope. Such a function can be written in slope intercept form:
#y = mx+c#
where
A linear function of two real variables has a graph which is a plane in three dimensional space. The general form of such a function could be written:
#z = ax+by+c#
Since it is a function, it determines a unique value of
More generally, a linear function of
#y = a_1 x_1 + a_2 x_2 + ... + a_n x_n + c#
The graph of such a function is an