Here are the key characteristics of a nonlinear graph:
* Curved line: The graph will have a curved line, rather than a straight line.
* Non-constant rate of change: The rate of change between the variables is not constant. This means the slope of the graph is not the same at every point.
* No consistent relationship: There is no simple mathematical equation that can be used to describe the relationship between the variables.
Examples of nonlinear graphs:
* Parabola: The graph of a quadratic equation.
* Hyperbola: The graph of an equation with a reciprocal term.
* Exponential function: The graph of an equation with a variable in the exponent.
* Logarithmic function: The graph of an equation with a logarithm.
* Sinusoidal function: The graph of a trigonometric function like sine or cosine.
In contrast, a linear graph:
* Represents a constant rate of change between variables.
* Can be described by a straight line.
* Can be represented by a simple linear equation (e.g., y = mx + c).
In essence, nonlinear graphs depict relationships that are more complex and dynamic than those represented by linear graphs.