The function \( f \) is defined as follows. \[ \begin{array}{l}f(x)=\sqrt[3]{x}+7 \\ \text { Find } f(27) \text { and } f(-343) \\ f(-343)=\square\end{array} \]

To find \( f(27) \) and \( f(-343) \) for the function \( f(x) = \sqrt[3]{x} + 7 \), we can substitute the values into the function. First, let's calculate \( f(27) \): \[ f(27) = \sqrt[3]{27} + 7 \] Since \( \sqrt[3]{27} = 3 \) (because \( 3^3 = 27 \)), we have: \[ f(27) = 3 + 7 = 10 \] Next, we calculate \( f(-343) \): \[ f(-343) = \sqrt[3]{-343} + 7 \] Since \( \sqrt[3]{-343} = -7 \) (because \( (-7)^3 = -343 \)), we have: \[ f(-343) = -7 + 7 = 0 \] Thus, the values are: \[ f(27) = 10 \quad \text{and} \quad f(-343) = 0 \] So, \( f(-343) = \boxed{0} \).