Two variables related in such a way that their values always have a constant ratio directly vary. Learn more about direct variation with this free math lesson.

Learn what the domain and range mean, and how to determine the domain and range of a given function. The domain of a function is the set of all possible input values, while the range is the set of …

Simplify an expression by combining like terms. In this process you will find terms that share the same variable and combine them together to form a simpler expression.

Simple Definition of Linear Equation: An equation that forms a straight line on a graph. More precisely, a linear equation is one that is dependent only on constants and a variable raised to the first power. …

Oct 18, 2023 · So a more general definition of proportionality is required then, oui? This example, y = x y =−x plays havoc with the intuition of proportionality as increase is met with increase Maybe we …

Exponential functions have variables raised to a power or exponent. This lesson covers exponential functions and how to understand and eventually solve them.

Mar 3, 2021 · If I have a limit, 3x as x approaches 2, for example, and say it equals 7, how can I prove my statement is false using the formal definition of limit? Another question I have is, how can I prove …

Learn what absolute value means, how to calculate it, and solve absolute value equations. Includes step-by-step examples and a free calculator.

1) Move the constant term (the 3) to the right hand side of the equation. x2 +12x = 3 x 2 + 12 x = 3 2) To create the "magic number", we need to focus our attention on the coefficient of the "x term" or …

Mar 30, 2007 · What is the definition of focus (mathematical) of a hyperbola? It is by definition c = sqrt (a^2 + b^2) If you have that - then you can show that the difference of distances from each focus of …