Flashcard: Understanding Affine Functions and Inequalities — 9 carte

Affine functions — definition?

Functions of the form f(x) = mx + p, with straight-line graphs.

Affine function — definition?

f(x) = mx + p, line graph.

From two points — find affine formula?

Calculate slope m, then find p by substitution.

p — role?

Y-intercept of the line.

m — role?

Slope of the line.

From two points — m formula?

m = (yB - yA) / (xB - xA).

Calculate p from point?

Substitute point into f(x)=mx+p.

m > 0 — function?

Strictly increasing on all reals.

Affine vs linear — difference?

Linear passes through origin; affine may not.