Answer:
f(x) has a zero for x between -3 and -2, for x between -2 and -1, for x between 1 and 2 and for x between 2 and 3
Explanation:
We need to create a table with the values for the function f(x) = x⁴ - 8x² + 10 within the integer interval -3 ≤ x ≤ 3
x: -3 -2 -1 0 1 2 3
f(x): 19 -6 3 10 3 -6 19
f(-3) is positive and f(-2) is negative, from the location principle, f(x) has a zero between -3 and -2
f(-2) is negative and f(-1) is positive, from the location principle, f(x) has a zero between -2 and -1
f(1) is positive and f(2) is negative, from the location principle, f(x) has a zero between 1 and 2
f(2) is negative and f(3) is positive, from the location principle, f(x) has a zero between 2 and 3
f(x) has a zero for x between -3 and -2, for x between -2 and -1, for x between 1 and 2 and for x between 2 and 3
