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.
Teste dein Wissen mit 5 Fragen zu Understanding Affine Functions and Inequalities.
1. How does an affine function differ from a linear function in terms of their graphs and algebraic expressions?
2. What is an affine function?
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