The zeroes of the function f(x) = x² – 2 can be found by solving the equation:
f(x) = 0
This means we need to set the equation equal to zero:
x² – 2 = 0
To solve for x, we can add 2 to both sides:
x² = 2
Next, we take the square root of both sides:
x = ±√2
Thus, the zeroes of the function f(x) = x² – 2 are:
x = √2 and x = -√2
These values represent the points at which the graph of the function crosses the x-axis.