Linear Function
f(x) = x
A linear function is a mathematical function that has a constant rate of change between its independent variable (usually represented by x) and its dependent variable (usually represented by y). In other words, as the independent variable changes by a certain amount, the dependent variable changes by a consistent ratio.
The general formula for a linear function is y = mx + b, where m is the slope of the line (the change in y divided by the change in x), and b is the y-intercept (the point where the line intersects the y-axis). The slope is typically represented as a fraction or decimal, and can be either positive (sloping upward from left to right) or negative (sloping downward from left to right).
One important characteristic of a linear function is that its graph is always a straight line. This makes it easy to identify the slope and y-intercept, as well as to determine the equation of the line for a given set of points. Linear functions are used in many areas of mathematics and science, such as in calculating rates of change, forecasting trends, and solving optimization problems.
More Answers:
Unwrapping The Basics Of Rational Functions: Properties, Domain, Range, And Graphing TechniquesLearn How To Graph Cubic Functions: Step-By-Step Guide And Examples
Mastering The Basics: Quadratic Functions And Their Applications In Science And Math