Question

For the given function, determine consecutive values of x between which each real zero is located.

f(x)= -11x^4 -3x^3 -10x^2+9x+18



a.


There is a zero between x = 0 and x = 1.


b.


There is a zero between x = 0 and x = –1.


c.


There are zeros between x = 2 and x = 3, x = 1 and x = 0, x = –1 and x = –2, x = –1 and x = –2, x = –2 and x = –3.


d.


There are zeros between x = 1 and x = 2, x = 0 and x = –1.

Answer 1

D. There are zeros between x = 1 and x = 2, x = 0 and x = –1.

Explanation:

A zero point is inside an interval where value of y changes from positive to negative or viceversa. The curve is evaluated in the given points hereafter:

f(-3) = - 909, f(-2) = -192, f(-1) = -9,f(0) = 18, f(1) = 3, f(2) = -204, f(3) = -1017

There two zero, one between x = -1 and x = 0 and other between x = 1 and x = 2. Hence, the answer is D.