(1 point) Consider the function \( f ( x ) = 6.5 x - \cos ( x ) + 3 \) on the interval
\( 0 \leq x \leq 1 \) . The Intermediate Value Theorem guarantees that there is a value \( c \) such that
\( f ( c ) = k \) for which values of \( c \) and \( k \) ? Fill in the following mathematical statements, giving an interval with non-zero length in each case.
For every \( k \) in
\( \leq k \leq \)
there is a \( c \) in
\( \leq c \leq \)
such that \( f ( c ) = k\)