Question

Using the intermediate value theorem, show that the function g(x)= (2x+1)/(1000x^7-x+1) has at least one point of discontinuity in the interval [-1,0]

Answer 1

show 1000x^7-x+1 has a root in [-1,0]

Answer 2

how do i do that?

Answer 3

please

Answer 4

zarkon is correct

Answer 5

i dont understand?

Answer 6

try to plug in (-1,0) to show that 1000^7-x+1 has a root in it

Answer 7

show that 1000x^7-x+1=0 for x is between [-1,0]
so find a value of x between -1 and 0 that makes
1000x^7-x+1=0

Answer 8

evaluate 1000^7-x+1 at x=-1 ans x=0...then use IVT

Answer 9

*and

Answer 10

So only for the denominator? we dont solve for the numerator?

Answer 11

you have a rational function here ... the only possible cause of a discontinuity is when the denominator is zero