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

Question

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

Explanation:

Step1: Identify the x - value

We need to find \( f(1) \), so we look at the x - coordinate \( x = 1 \) on the graph.

Step2: Find the corresponding y - value (function value)

On the graph, at \( x = 1 \), we look at the filled dot (since the open dot is a discontinuity, and the filled dot represents the actual function value at \( x = 1 \)). The y - coordinate of the point with \( x = 1 \) is - 1. So \( f(1)=-1 \).

Answer:

\( f(1)=-1 \)