Question
Identify whether the graph displays a linear or nonlinear function. Explain why.
Graph B
On a coordinate plane, Graph B curves up into quadrant 1.
Graph B displays a
Graph B
On a coordinate plane, Graph B curves up into quadrant 1.
Graph B displays a
Answers
GPT-4o mini
Graph B displays a nonlinear function.
The reason for this classification is that a nonlinear function does not form a straight line when graphed. Since you mention that Graph B "curves up" into quadrant 1, this indicates that the relationship between the x and y variables is not constant; instead, the rate of change varies, which is characteristic of nonlinear functions. Linear functions, on the other hand, have a constant rate of change and will always graph as a straight line. The curvature observed in Graph B confirms that it does not adhere to the properties of linearity.
The reason for this classification is that a nonlinear function does not form a straight line when graphed. Since you mention that Graph B "curves up" into quadrant 1, this indicates that the relationship between the x and y variables is not constant; instead, the rate of change varies, which is characteristic of nonlinear functions. Linear functions, on the other hand, have a constant rate of change and will always graph as a straight line. The curvature observed in Graph B confirms that it does not adhere to the properties of linearity.