Question

What is the range of the following function: f(x)=-x^2+x^-1 if the domain is {-2, -1, 1}

Answer 1

f(x)= -x^2 + x^-1

f(-2)= - (-2)^2 + (-2)^-1 = -4 - 1/2 = -9/2

f(-1)= - (-1)^2 + (-1)^-1 = -1 -1    =   -2

f(1) = - (1)^2 + (1)^-1 = -1 +1 = 0

The range is { -9/2, -2, 0}