Question

Sa se determine functia afina daca: ia valoarea 1 in 2 si -1 in 3

Answer 1

$fie~functia~f: \left\{-1;1} \right\}\rightarrow \left\{2;3 \right\} \\ f(x)=ax+b \\ \left \{ {-a+b=2} \atop {a+b=3}} \right.\Rightarrow a= -\frac{1}{2}~si~b= \frac{5}{2} ~deci~formula~functiei~afine~este \\ f(x)=- \frac{1}{2}x+ \frac{5}{2}$