A special type of equation that expresses a relationship between two or more quantities is called a functional equation. These equations define a function in terms of its values at various points, illustrating how different inputs relate to outputs. Examples include equations like ( f(x+y) = f(x) + f(y) ), which describe the additive properties of functions. Such equations are important in various fields, including mathematics, physics, and economics.
parabola
Function
inequality
line graphs
The kinematic equations describe the relationship between distance, time, initial velocity, final velocity, and acceleration in physics.
The relations between quantities are stated by multiplicative relationship between the quantities.
Direct relationship: When two quantities increase or decrease together. Inverse relationship: When one quantity increases while the other decreases. Linear relationship: When the relationship between the quantities can be represented by a straight line. Nonlinear relationship: When the relationship between the quantities cannot be represented by a straight line.
an equation that expresses a relationship between two or more quantities
Describe the relationship between mass and weight.
A ratio shows the relationship between two quantities.Formula
It is a ratio
Function
For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.
parabola
It is a non-linear or non-existent relationship between the two quantities.
Function