This is the graph of a nonlinear function. The x-intercept of the function is at (8, 0).
The given graph represents a nonlinear function, as the curve's shape suggests a relationship where the dependent variable does not vary proportionally with the independent variable. The curve starts in quadrant III at the point (-1, -3), ascends through points (0, -2), (3, -1), and (8, 0), and eventually exits quadrant I.
The x-intercept, where the curve intersects the x-axis, occurs at (8, 0). This point signifies the value of the independent variable at which the function equals zero. The graph's trajectory from quadrant III to quadrant I indicates a positive trend in the dependent variable as the independent variable increases.