Final Answer:
The best description of the graph of the function \(f(x) = 60\) is D. The graph has an initial value of 60, and each successive term is determined by multiplying by.
Step-by-step explanation:
The function \(f(x) = 60\) is a constant function where the output (y-value) is always 60, regardless of the input (x-value). The graph of a constant function is a horizontal line parallel to the x-axis at the constant value. In this case, the initial value is 60, and each successive term (for any x-value) is determined by multiplying by a constant factor, which is 1 in this case.
To illustrate, consider any x-value, say \(x_1\). For this constant function, \(f(x_1) = 60\) because the function output is always 60. Now, for any other x-value, \(x_2\), \(f(x_2) = 60\) as well. This behavior holds true for all x-values, confirming that each successive term is determined by multiplying by 1.
Therefore, option D accurately describes the graph of the function \(f(x) = 60\). The graph starts at an initial value of 60, and each successive term remains constant, reflecting a multiplication by 1 for any x-value. This understanding aligns with the concept of constant functions and provides a clear interpretation of the given function's graph.