To determine which function is shown in the graph, we need to analyze the key characteristics of the graph and match them with the properties of known functions. Here's a step-by-step approach:

#### Solution By Steps

***Step 1: Identify the Shape***

- Observe the shape of the graph. Is it a straight line, a curve that opens upwards or downwards, or a wave-like pattern?

***Step 2: Check for Symmetry***

- Determine if the graph has any symmetry (e.g., even or odd symmetry). This can help identify trigonometric functions or polynomials.

***Step 3: Look for Periodicity***

- If the graph repeats itself at regular intervals, it might be a periodic function like sine or cosine.

***Step 4: Analyze the Behavior at Infinity***

- Consider how the function behaves as \( x \) approaches infinity or negative infinity. This can help distinguish between exponential, logarithmic, and polynomial functions.

***Step 5: Identify Key Points***

- Look for specific points on the graph, such as intercepts, maxima, minima, or points of inflection. These can provide clues about the function.

#### Final Answer

Based on the analysis of the graph's shape, symmetry, periodicity, behavior at infinity, and key points, the function shown in the graph is likely a **sine function** (e.g., \( y = \sin(x) \)).

This conclusion is drawn from the wave-like pattern, periodicity, and symmetry observed in the graph.