If \(f'(x)\gt 0\) for all real numbers \(x\) and \(\int\limits_8^{10} f(t)   dt = 0\), which of the following could be a table of values for the function \(f\) ?

The graph of \(f\) is always increasing, which rules out the first two options.

We are given that the value of the integral is \(0\), which implies that the area under the curve must consist of positive and negative regions.

Only the last option correctly includes points below and above the \(x\)-axis, indicating a possible area sum of \(0\).