Search problems

1 problem matches “custom operations”. Clear

Visitors search a sample. Sign in for free to search every problem. Sign in

1. Maximum of a piecewise function ●●○○○ 20 ptsDefine a new operation $\oplus$ as follows: when $a \geq b$, $a \oplus b = a$; when $a < b$, $a \oplus b = b^2$. Let $f(x) = (1 \oplus x)\cdot x - (2 \oplus x)$ for $x \in [-2, 2]$. Find the maximum value of $f(x)$.