Posted by ash on Sunday, August 26, 2012 at 12:40pm.
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, Sunday, August 26, 2012 at 2:42pm
i changed it too
f(1.9)= 10.186
f(1.5)= 2.344

algebra  Steve, Sunday, August 26, 2012 at 3:19pm
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, Sunday, August 26, 2012 at 3:24pm
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, Sunday, August 26, 2012 at 4:07pm
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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