Answer
a. 11, b. -1, c. 11
Work Step by Step
We are given the function $f(x)=-x^{2}-x^{3}+11$. In order to find the specified values, we can plug the values into the function and solve.
a. $f(-1)= -(-1)^{2}-(-1)^{3}+11=(-1\times1)-(-1)+11=(-1)+1+11=-1+1+11=11$
b. $f(2)= -(2)^{2}-(2)^{3}+11=(-1\times4)-(8)+11=(-4)-8+11=-4-8+11=-1$
c. $f(0)= -(0)^{2}-(0)^{3}+11=(-1\times0)-(0)+11=(0)-0+11=0-0+11=11$