Use the intermediate value theorem to show that f(x) has a zero in the given interval. Please show all of your work.
f(x) = 3x^3 + 8x^2 - 5x - 11; [-2.8, -2.7]
If the function f(x) is continuous on
[a,b] and f(a)*f(b)<0 then on (a,b) there
are at least one zero. Polynomial is
continuous on R.
Compute f(-2.8) and f(-2.7)