Question

evaluate the function graphically.
find ( f(1) )

Explanation:

Step1: Understand the function value concept

The value of \( f(1) \) is the \( y - \)coordinate of the point on the graph where \( x = 1 \).

Step2: Locate \( x = 1 \) on the graph

Looking at the graph, for the relevant part of the function (the upper - right piece where \( x = 1 \) is considered, since the open - circle and closed - circle rules apply. The closed - circle is not at \( x = 1 \), but the open - circle is part of the linear segment. Wait, no, actually, when evaluating \( f(1) \), we look for the point on the graph with \( x = 1 \). The upper - right part of the graph (the non - parabolic part) has a point at \( x = 1 \). The \( y - \)coordinate of the point on the graph with \( x = 1 \) is \( 5 \).

Answer:

\( 5 \)