The value of f(1) for a step function can be determined by looking at the graph of the function.
Step functions are piecewise constant functions that take a constant value within certain intervals. To find f(1), we need to identify the interval that includes x = 1 on the graph. In a typical step function, the function’s value changes at specific points, known as step points.
For example, if the step function is defined as follows:
- f(x) = 0 for x < 0
- f(x) = 1 for 0 ≤ x < 2
- f(x) = 2 for 2 ≤ x < 4
In this case, since 1 lies in the interval [0, 2), f(1) would equal 1.
So, the answer to the question is that f(1) is equal to the value of the function within the interval that includes 1. Depending on how the step function is defined around that point, f(1) can take on different values. Make sure to check the graph or the piecewise definition of f(x) for the precise value.