algebra
posted by ash .
use the intermediate value theorem to show the polynominal function has a zero in the given interval
f(x)=x^5x^4+3x^32x^211x+6; [1.5,1.9]
x= 2.33
y=10.19
after i plugged in the 1.5 and 1.9 i just want to know if my x and y are correct

algebra 
ash
i changed it too
f(1.9)= 10.186
f(1.5)= 2.344 
algebra 
Steve
so, the IVT says that if f(x) is continuous, it must take on all values between 10.186 and 2.344.
That includes 0, so there is the proof.
BTW, you values for f are correct. 
algebra 
ash
so i am right? x and y?
x=2.344
y=10.186
it was continuous, but they wanted it rounded to three decimal places 
algebra 
Steve
I wouldn't call your values x and y.
You have two xvalues: 1.5 and 1.9
and two values for f(x) or y: 2.344 and 10.186
and, as I said, given those two values for x, your two y values are correct to 3 places.
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