Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Define
f ( x ) = { sin x , x < 0 , a x + b , 0 ≤ x < π , cos x , x ≥ π . f(x)=\begin{cases}\sin x, & x<0,\\ ax+b, & 0\le x<\pi,\\ \cos x, & x\ge \pi.\end{cases} f ( x ) = ⎩ ⎨ ⎧ sin x , a x + b , cos x , x < 0 , 0 ≤ x < π , x ≥ π .
Mathematics
Problem Define
f ( x ) = { sin x , x < 0 , a x + b , 0 ≤ x < π , cos x , x ≥ π . f(x)=\begin{cases}\sin x, & x<0,\\ ax+b, & 0\le x<\pi,\\ \cos x, & x\ge \pi.\end{cases} f ( x ) = ⎩ ⎨ ⎧ sin x , a x + b , cos x , x < 0 , 0 ≤ x < π , x ≥ π . ( a , b ) (a,b) ( a , b ) f f f x x x a = 0 , b = 0 a=0,\;b=0 a = 0 , b = 0 a = 1 π , b = 0 a=\dfrac1\pi,\;b=0 a = π 1 , b = 0 a = − 1 π , b = 0 a=-\dfrac1\pi,\;b=0 a = − π 1 , b = 0 a = − 2 π , b = 1 a=-\dfrac2\pi,\;b=1 a = − π 2 , b = 1 Browse the problem library