Maylis said:Hello,
What is an affine function? My professor has been throwing around this term in the lecture videos and I have never heard of it. I looked it up, and is it basically a quadratic function, but used for matrices??
An affine function is a mathematical function that has the form f(x) = mx + b, where m and b are constants. It is a type of linear function that includes a constant term, b, which represents the y-intercept of the graph.
To graph an affine function, plot the y-intercept, b, on the y-axis. Then, use the slope, m, to find another point on the line by moving m units up or down and 1 unit to the right. Connect the two points with a straight line to complete the graph.
An affine function is a type of linear function that includes a constant term, while a linear function is a function that has the form f(x) = mx, with no constant term. In other words, an affine function can be written as a linear function plus a constant term.
Affine functions are commonly used in fields such as economics, physics, and engineering to model real-world situations. For example, they can be used to represent the relationship between distance and time in a car's motion or the cost of producing a certain number of items.
The inverse of an affine function is another affine function that undoes the original function's actions. It can be found by switching the x and y variables and solving for y. The inverse of f(x) = mx + b is f-1(x) = (x-b)/m.