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Linear Functions

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 Functions - Linear Functions - Contents

The linear function is one of the most fundamental type of functions with two variables. A linear function has the form y equals a times x plus b. It is based on a simple linear equation using only basic math operations. Here a and b are numeric constants, which both represent any number. In these equations the multiplication comes before the addition in the operator precedence. This is the basic form of a linear equation. An equation is termed linear due to the fact that when the x and y variables are mapped out on a Cartesian Plane they result in a straight continuous line that is infinite. In the equation of the form y = ax + b it turns out that the slope of this line of the graph is always equal to the a constant and the point where it contacts the y axis is equal to the b constant. Both the domain and range of any linear function is the set of all real numbers.

 Functions - Linear Functions - Examples

Linear equation form:

y = ax + b
y
equals a times x
plus b

Three linear equations:
If y = 4x + 2,
then the slope of the line is positive four.
If y = 2x/3 + 1/2,
then the slope of the line is positive two over three.
If y = -3x + 1/2,
then the slope of the line is negative three.

 Functions - Sections - Chapters 1 - Function Definition 2 - Function Notation 3 - Function Domain 4 - Function Range 5 - Composite Functions 6 - Inverse Functions 7 - Linear Functions 8 - Power Functions 9 - Quadratic Functions 10 - Logarithmic Functions 11 - Exponential Functions 12 - Factorial Functions 13 - Limit Functions 14 - Summation Functions 15 - Percentage Functions

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