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f ( x ) = { x 2 , x < 1 a x + b , 1 ≤ x < 4 2 x − 5 , x ≥ 4 f(x)=
\begin{cases}
x^{2}, & x<1\\
ax+b, & 1\le x<4\\
2x-5, & x\ge 4
\end{cases} f ( x ) = ⎩ ⎨ ⎧ x 2 , a x + b , 2 x − 5 , x < 1 1 ≤ x < 4 x ≥ 4
Mathematics
Problem Let
f ( x ) = { x 2 , x < 1 a x + b , 1 ≤ x < 4 2 x − 5 , x ≥ 4 f(x)=
\begin{cases}
x^{2}, & x<1\\
ax+b, & 1\le x<4\\
2x-5, & x\ge 4
\end{cases} f ( x ) = ⎩ ⎨ ⎧ x 2 , a x + b , 2 x − 5 , x < 1 1 ≤ x < 4 x ≥ 4 ( a , b ) (a,b) ( a , b ) f f f ( 3 4 , 1 4 ) \left(\dfrac34,\,\dfrac14\right) ( 4 3 , 4 1 ) ( 2 3 , − 1 3 ) \left(\dfrac23,\,-\dfrac13\right) ( 3 2 , − 3 1 ) ( 2 3 , 1 3 ) \left(\dfrac23,\,\dfrac13\right) ( 3 2 , 3 1 ) ( 1 , − 1 ) \left(1,\,-1\right) ( 1 , − 1 ) Browse the problem library