Graph the function f(x)=1/x . Which of the following points with the x-coordinate of −2/11 is located on the graph?

Answer 1

To determine if the point with the x-coordinate of \(-\frac{2}{11}\) is located on the graph of the function \(f(x) = \frac{1}{x}\), we need to calculate \(f\left(-\frac{2}{11}\right)\).

Let's calculate this:

\[ f\left(-\frac{2}{11}\right) = \frac{1}{-\frac{2}{11}} = -\frac{11}{2} \]

This means that the function value at \(x = -\frac{2}{11}\) is \(-\frac{11}{2}\).

So, the point \(\left(-\frac{2}{11}, -\frac{11}{2}\right)\) is on the graph of the function \(f(x) = \frac{1}{x}\).

Therefore, the point with the x-coordinate of \(-\frac{2}{11}\) is \(\left(-\frac{2}{11}, -\frac{11}{2}\right)\).