Which rule matches the function shown in the graph

It's difficult to answer this question without seeing the graph or knowing the function. Could you please provide more information or attach the graph?

To determine which rule matches the function shown in the graph, we need to analyze the graph and look for patterns.

First, observe the shape of the graph. Does it form a straight line or a curve?

If the graph is a straight line, it is likely a linear function and can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept. To find the slope, choose two points on the line and use the formula: m = (change in y) / (change in x).

If the graph is a curve, it may represent a polynomial function. Polynomial functions are typically represented by equations of the form y = a_nx^n + a_{n-1}x^{n-1} + ... + a_2x^2 + a_1x + a_0, where a_n, a_{n-1}, ..., a_2, a_1, and a_0 are constants.

Another type of function could be exponential, logarithmic, trigonometric, etc. For these types of functions, the equation will have specific mathematical properties and formulas associated with them.

By identifying the type of function based on the graph's shape and applying relevant mathematical principles, you can determine the rule that matches the function shown in the graph.

To determine which rule matches the function shown in the graph, we need more information. Please provide the graph or describe it in more detail.