Asked by Brock
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)=
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)=
Answers
Answered by
Steve
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.
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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