# algebra

posted by .

use the intermediate value theorem to show the polynominal function has a zero in the given interval

f(x)=x^5-x^4+3x^3-2x^2-11x+6; [1.5,1.9]

x= -2.33

y=10.19

after i plugged in the 1.5 and 1.9 i just want to know if my x and y are correct

• algebra -

i changed it too

f(1.9)= 10.186

f(1.5)= -2.344

• algebra -

so, the IVT says that if f(x) is continuous, it must take on all values between 10.186 and -2.344.

That includes 0, so there is the proof.

BTW, you values for f are correct.

• algebra -

so i am right? x and y?
x=-2.344
y=10.186

it was continuous, but they wanted it rounded to three decimal places

• algebra -

I wouldn't call your values x and y.

You have two x-values: 1.5 and 1.9
and two values for f(x) or y: -2.344 and 10.186

and, as I said, given those two values for x, your two y values are correct to 3 places.

## Similar Questions

1. ### college algebra

Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval. f(x)=8x^5-4x^3-9x^2-9;[1,2]
2. ### College Algebra

1. Use the Intermediate Value Theorem to show that the polynomial function has a zero in the given interval. f(x) = 13x^4 - 5x^2 +7x -1; [3,0] Enter the value of (-3). 2. Use the Intermediate Value Theorem to show that the polynomial …

use the intermediate value theorem to show that the polynomial function has a zero in the given interval. f(x)=4x^3+3x^2-8x+7;[-5,-2] please show all work
4. ### college algebra--need help please!!

use the intermediate value theorem to show that the polynomial function has a zero in the given interval. f(x)=x^5-x^4+9x^3-5x^2-16x+5;[1.3,1.6] f(x)1.3= ?
5. ### Use the intermediate value

Use the intermediate value theorem to show that the polynomial function has a zero in the given interval. f(x)=9x^4-3x^2+5x-1;[0,1]
6. ### Use the intermediate value

Use the intermediate value theorem to show that the polynomial function has a zero in the given interval. f(x)=4x^3+6x^2-7x+1; [-4,-2] f(-4)=
7. ### Algebra

Use the intermediate theorem to show that the polynomial function value has a zero in the given interval f(x)=x^5-x^4+8x^3-7x^2-17x+7; [1.6,1.8] Find the value of f(1.6) Find the value of f(1.8)
8. ### intermediate value thorem

Use intermediate value theorem to show that the polynomial function has a zero in the given interval. f(-3)= value of 0=
9. ### algebra

Show Work Use the intermediate value theorem to show that the polynomial function has a zero in the given interval. f(x)=x^5-x^4+4x^3-4x^2-20x+18 [1.5,1.8]
10. ### algebra

Want to make sure I am doing this correctly. Use the Intermediate Value Theorem for polynomials to show that the polynomial function f(x)has zero between the numbers given. f(x)=3x^2-x-4 ; 1 and 2 3(1)^2-1-4= - 2 below zero 3(2)^2-1-4= …

More Similar Questions