Question

Fie functia f:R------>R , definita astfel : f(x)=3x-4, daca x<-1 ; -7, daca -1<_ x<3; -3x+2, daca x>_ 3 . Sa se determine :f(-2) ; f(-1) ; f(2)

Answer 1

$f(x) = \begin{cases} 3x-4,\ daca\ x\ \textless \ -1\\ -7,\ daca \ -1 \leq x \ \textless \ 3 \\ -3x+2,\ daca\ x \geq 3 \end{cases}$

x=-2  apartine primei ramuri, rezulta :  $f(-2) = 3\cdot(-2)-4 = -10$

x=-1 apartine la a doua ramura, rezulta:   $f(-1) =7$

x=2 apartine de a treia ramura, rezulta:  $f(2) = -3\cdot2+2= -4$