Question

Help with intermediate value theorem

Answer 1

The Intermediate Value Theorem guarantees the existence of at least one real zero of the polynomial function 1/3x^3 - 3 on all the following intervals except:

Answer 2

@ganeshie8

Answer 3

what does intermediate value theorem says ?

Answer 4

http://www.mathsisfun.com/algebra/intermediate-value-theorem.html

Answer 5

take each option,
simply evaluate the given function at boundaries of given interval

Answer 6

if you get different signs, then it is clear that a zero exists in the given interval

Answer 7

f(x) = 1/3x^3 - 3

option 1 : [0, 3]
f(0) = 1/3*0^3-3 = `-3`
f(3) = 1/3*3^3-3 = `6`

since both values are of different signs, there exists a zero in the interval. So try next option.

Answer 8

sorry im back @ganeshie8

Answer 9

Would the next option be [-3,3]