Homework Help: calculus

Posted by Brock on Thursday, December 27, 2012 at 7:10pm.

Use the intermediate value theorm to show that the polynomial function has a zero in the given interval

f(x)=x^5-x^4+8x^3-5x^2-14x5;[1.4;1.5]

find the value of f(1.4)
f(1.4)=

find the value of f(1.5)
f(1.5)=

calculus - Steve, Thursday, December 27, 2012 at 11:38pm
I'll leave you to find f(x) for some x. A visit to the bottom of the page at

http://rechneronline.de/function-graphs/

will allow you to enter your function and a list of values to evaluate.

Since you left out a + or - sign in 14x5, I'll not evaluate f(x), but you will surely find that f(1.4) and f(1.5) have opposite signs. So, the IVT says that there is a root in the interval.

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