Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Let
f ( x ) = { c sin x , x < 0 d , x = 0 c x + d , 0 < x < 2 x 2 − c , x ≥ 2 f(x)=\begin{cases} c\sin x, & x<0\\ d, & x=0\\ cx+d, & 0<x<2\\ x^{2}-c, & x\ge 2\end{cases} f ( x ) = ⎩ ⎨ ⎧ c sin x , d , c x + d , x 2 − c , x < 0 x = 0 0 < x < 2 x ≥ 2
Mathematics
Problem Let
f ( x ) = { c sin x , x < 0 d , x = 0 c x + d , 0 < x < 2 x 2 − c , x ≥ 2 f(x)=\begin{cases} c\sin x, & x<0\\ d, & x=0\\ cx+d, & 0<x<2\\ x^{2}-c, & x\ge 2\end{cases} f ( x ) = ⎩ ⎨ ⎧ c sin x , d , c x + d , x 2 − c , x < 0 x = 0 0 < x < 2 x ≥ 2 ( c , d ) (c,d) ( c , d ) f f f x x x ( 1 , 1 ) (1,1) ( 1 , 1 ) ( 2 , 0 ) (2,0) ( 2 , 0 ) ( 4 3 , 0 ) \left(\frac{4}{3},0\right) ( 3 4 , 0 ) ( 4 , 0 ) (4,0) ( 4 , 0 ) Browse the problem library