According to this function What is f(-7)=? f(x)= ) x+3&for&xleqslant -4 -(x-4)^2-7&for&xgeqslant 2 4 128 -4 -128

To find the value of $f(-7)$, we need to determine which piece of the piecewise function applies to $x = -7$.<br /><br />Since $-7 \leq -4$, we use the first piece of the function: $f(x) = x + 3$.<br /><br />Substituting $x = -7$ into the function, we get:<br />$f(-7) = -7 + 3 = -4$<br /><br />Therefore, the correct answer is $-4$.