SOLUTION: please help.
Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.
f(x) = 8x^3 - 10x^2 + 3x + 5; [-1, 0]
Algebra.Com
Question 616968: please help.
Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.
f(x) = 8x^3 - 10x^2 + 3x + 5; [-1, 0]
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.
f(x) = 8x^3 - 10x^2 + 3x + 5; [-1, 0]
-------
f(-1) = 8*-1 - 10*1 + 3*-1 + 5
f(-1) = -8 -10 -3 + 5 < 0
------
f(0) = 5
---
Since f(-1) is negative
And f(0) is positive
and
Since f is continuous on [-1,5] there must be a zero on that interval.
=========================
cheers,
Stan H.
=========================
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If
\right)\ \neq\ \text{sgn}\left(f(b)\right))
where, presuming real function values:
then )
has a real zero on [
]
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
9. Use the intermediate value theorem to determine whether the polynomial function has a... (answered by Theo)
Use the intermediate value theorem to determine whether the polynomial function has a... (answered by ewatrrr)
Use the intermediate value theorem to determine whether the polynomial function has a... (answered by josgarithmetic)
Use the intermediate value theorem to determine whether the polynomial function has a... (answered by ikleyn)
use the intermediate value theorem to determine whether the polynomial function has a... (answered by KMST)
Please help me solve this equation
Use the intermediate value theorem to determine... (answered by rothauserc)
Use the intermediate value theorem to determine whether the polynomial function has a... (answered by ewatrrr)
f(x)-3x^3-6x^2+10x+9;[-1,0]
Use the intermediate value theorem to determine whether the... (answered by jim_thompson5910)
Use the intermediate value theorem to determine whether the polynomial function has a... (answered by josgarithmetic)
