f(1.5) = -4.96
f(1.8) = +0.77
Since f is continuous on the interval, and 0 is between -4.96 and +0.77, f must be zero somewhere in that interval. It cannot change from negative to positive without going through zero.
Show Work
Use the intermediate value theorem to show that the polynomial function has a zero in the given interval.
f(x)=x^5-x^4+4x^3-4x^2-20x+18
[1.5,1.8]
1 answer