Answer
A. [a,b]
B. [a+k,b+k]
C. [a/k,b/k]
Work Step by Step
A. $[a,b]$, because Rolle’s is not affected by adding constants as they become 0 when the derivative is taken, and $a$ and $b$ are $x$ values which aren’t affected by changes in $y$.
B. $[a+k,b+k]$, because Rolle’s is affected by changes in $x$
C. $[a/k,b/k]$, because you would divide $k$ as it is being multiplied in the given function.