Horizontal lines in graphs represent functions with no real zeros. Their constant output means no input value makes the function equal zero. Though complex zeros might exist, the graph alone can't confirm them.
The graph you sent me depicts a horizontal line, which means the function represented by the graph has no real zeros. In mathematics, a real zero of a function refers to an input value (x-value) that makes the function's output (y-value) equal zero. Since the horizontal line in your graph never intercepts or touches the x-axis, there are no corresponding x-values that would make the y-value zero.
Here's a different way to understand why the horizontal line has no real zeros: imagine setting the function's output (y) to zero and then trying to solve for the input (x). In the case of a horizontal line, regardless of what x-value you plug in, the output will always be the same y-value (in this case, 2). Therefore, there's no real x-value that can make the function's output zero.
It's important to note that while the function in your graph has no real zeros, it could have complex zeros. Complex zeros refer to input values that are not real numbers but involve the imaginary unit "i". However, determining the presence of complex zeros typically involves analyzing the function's equation itself, which isn't possible based solely on the visual information provided in the graph.