Question
A linear function is a function where the graph of the function is a straight line. It can be represented in the form f(x) = mx + b, where m is the slope of the line and b is the y-intercept. When represented as a table, the values of x and y will have a constant rate of change. When represented as a graph, the line will be a straight line that extends infinitely in both directions.
On the other hand, a nonlinear function is a function that does not form a straight line when graphed. This type of function does not have a constant rate of change and can take on various shapes, such as curves, parabolas, or exponential growth or decay. When represented as a table, the values of x and y will not have a constant rate of change. When represented as a graph, the function will not form a straight line and may have multiple peaks or valleys.
CAN YOU MAKE THIS A SINLE AND SIMPLE PARRAGRAPH BUT KEEPING ALL THE MAIN IDEAS
On the other hand, a nonlinear function is a function that does not form a straight line when graphed. This type of function does not have a constant rate of change and can take on various shapes, such as curves, parabolas, or exponential growth or decay. When represented as a table, the values of x and y will not have a constant rate of change. When represented as a graph, the function will not form a straight line and may have multiple peaks or valleys.
CAN YOU MAKE THIS A SINLE AND SIMPLE PARRAGRAPH BUT KEEPING ALL THE MAIN IDEAS
Answers
GPT-5 mini
A linear function produces a straight-line graph and can be written f(x) = mx + b, where m is the slope and b is the y-intercept; its table shows a constant rate of change and the line extends infinitely in both directions. A nonlinear function does not form a straight line and does not have a constant rate of change; it can take many shapes (curves, parabolas, exponential growth or decay), its table will not show a constant rate, and its graph may have multiple peaks or valleys.