Question

identify the equation for this graph. f(x) = x; f(x) = 1/x; f(x) = ln(x); f(x) = x³

Explanation:

1. $f(x)=x$ is a straight line through the origin, not matching the curve.
2. $f(x)=\frac{1}{x}$ is a hyperbola with two branches in the first and third quadrants, matching the graph's shape, asymptotes at the axes, and quadrant placement.
3. $f(x)=\ln(x)$ only exists for positive $x$ and has no third quadrant branch, so it does not match.
4. $f(x)=x^3$ is a cubic curve passing through the origin, not matching the hyperbolic shape and asymptotes.

Answer:

B. $f(x) = 1/x$