Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

  
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,949 users

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

0 votes
Find the value of f(1.2)

Find the value of f(1.5)

f(x)=x^5-x^4+8x^3-4x^2-18x+7;[1.2,1.5]
asked Sep 1, 2014 in ALGEBRA 2 by anonymous

1 Answer

0 votes

The polynomial function f(x) = x5 - x4 + 8x- 4x2 - 18x + 7

f(1.2) = (1.2)5 - (1.2)4 + 8(1.2)- 4(1.2)2 - 18(1.2) + 7

= 2.48832 - 2.0736 + 13.824 - 5.76 - 21.6 + 7

= - 6.12128

f(1.2) < 0

f(1.5) = (1.5)5 - (1.5)4 + 8(1.5)- 4(1.5)2 - 18(1.5) + 7

= 7.59375 - 5.0625 + 27 - 9 - 27 + 7

= 0.53125

f(1.5) > 0

From intermediate mean value theorem

Since f(1.2) < 0 and f(1.5) > 0

The function has go through zero at some point in the interval [1.2, 1.5].

answered Sep 1, 2014 by david Expert

Related questions

...