Chapter 4 - Functions
Page 2 of 15
|Functions - Function Notation - Contents|
A function uses a independent variable x to represent the elements available for the function, and a dependent variable y to represent the elements that provides the solution set to the function. The function acts on the x variable to solve for the y variable can be written in the notation y = f(x), pronounced "y equals f of x". The function symbol f(x) represents a mathematical equation. It performs operations on each x element and the results define the y elements. An example of a function is the equation y equals two times x plus the number one. The results when mapped on the Cartesian Plan is a continuous straight line, so this is referred to as a linear function. This function can use the entire set of real numbers for both the input variable and the output variable, because any number will work for both x and y. Since this function is linear it is continuous and each x has one, and only one y solution.
|Functions - Function Notation - Examples|
General function notation:
y = f(x).
Linear functions in general notation:
y = 2x + 1,
y = 4x / 3,
y = (2x / 3) + 1.
|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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