Question

the step function ( f(x) ) is graphed. what is the value of ( f(0) )?

Explanation:

Step1: Understand the step - function

A step - function (also known as a piece - wise constant function) has different constant values on different intervals. For a value \(x = a\), we look at the interval that \(a\) belongs to and then find the corresponding \(y\) - value.

Step2: Locate \(x = 0\) on the graph

We observe the graph of the step - function. When \(x = 0\), we check the interval that \(x = 0\) is part of. The solid dot (which represents the included end - point of the interval) for the interval that contains \(x = 0\) has a \(y\) - value of \(1\).

Answer:

\(1\)