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(B) Given the function $f(x) = (x-1)^2 + 3$ defined on the interval $x \in [-3, 1]$.To find the critical points, we differentiate $f(x)$ with respect

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$(3, 19)$

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(B) Given the function $f(x) = (x-1)^2 + 3$ defined on the interval $x \in [-3, 1]$.To find the critical points, we differentiate $f(x)$ with respect to $x$:$f'(x) = 2(x-1)$.Setting $f'(x) = 0$, we get $2(x-1) = 0$, which implies $x = 1$.Since $x = 1$ is an endpoint of the interval $[-3, 1]$, we evaluate the function at the critical point and the boundaries:At $x = 1$, $f(1) = (1-1)^2 + 3 = 3$.At $x = -3$, $f(-3) = (-3-1)^2 + 3 = (-4)^2 + 3 = 16 + 3 = 19$.Comparing the values, the minimum value $m = 3$ and the maximum value $M = 19$.Thus, the ordered pair $(m, M)$ is $(3, 19)$.

If $m$ and $M$ respectively denote the minimum and maximum of $f(x)=(x-1)^2+3$ for $x \in [-3, 1]$, then the ordered pair $(m, M)$ is equal to

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