#3.) The following states about f(x) are true:
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The question you asked doesn't provide any information about the specific properties or characteristics of the function f(x). In order to determine the true statements about f(x), we need more details about the function or any specific properties that it might possess.
However, in general, some common statements that could be true about a function f(x) include:
1. f(x) is continuous: This means that the function has no abrupt jumps or breaks in its graph and can be drawn without lifting your pen.
2. f(x) is differentiable: This means that the function has a derivative at every point in its domain, which represents the slope of the tangent line to the graph of the function at that point.
3. f(x) is increasing/decreasing: This indicates the trend or direction of the function's values. If f(x) is increasing, it means that as x increases, the values of f(x) also increase. On the other hand, if f(x) is decreasing, the values of f(x) decrease as x increases.
4. f(x) has a maximum/minimum: This means that the function reaches its highest (maximum) or lowest (minimum) value in a certain interval. A maximum value is also known as the peak, while a minimum value is known as the trough.
In order to determine which statements are true for a specific function f(x), we would need the actual definition or information about the function itself. Can you provide any additional details about the properties or characteristics of the function f(x) so that I can assist you further?