Question

Determine between which consecutive integers the real zeros of f(x)= x³ - 2 are located.

a. between 1&2
C.
between 0&1
b. between-1&0
d. between -2&-1
Please select the best answer from the choices provided
Ο Α
B
C
OD

Answer 1

the answer is (d) between -2 and -1.

Explanation:

To find the real zeros of f(x) = x³ - 2, we need to solve the equation f(x) = 0.

x³ - 2 = 0

x³ = 2

Taking the cube root of both sides, we get:

x = ∛2

Since ∛2 is irrational, it cannot be written exactly as a fraction or decimal. However, we can approximate it to any desired degree of accuracy using numerical methods.

Since ∛2 is positive, it follows that the real zeros of f(x) are located between -2 and -1, since f(x) is negative for x < -2, and f(x) is positive for x > -1. Therefore, the answer is (d) between -2 and -1.