Question

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
function has a zero in the given interval.
f(x) = 2x^3 + 8x^2 - 7x + 9; [-9, -4]
Find the value of (-9)

Answer 1

1. since f(0) = -1 and f(3) = 1028, there must be some value 0 < c < 3 where f(c) = 0.

Dunno what you want with -3.


2. since f(-9) = -738 and f(-4) = 37, there is some -9 < c < -4 where f(c) = 0.