Question

1. the piecewise function ( f(x) ) is shown below: graph based on the graph, what is the best estimate of ( f(11) )? ( f(11)=4 ) a ( f(11)=7 ) b ( f(11)=6 ) c

Explanation:

Step1: Analyze the graph's segments

Look at the piecewise function's graph. The segment with solid dots (indicating defined points) around \( x = 11 \) is the horizontal line.

Step2: Identify the y - value at \( x = 11 \)

From the graph, the horizontal segment (with solid dots) at \( x = 10 \) to \( x = 12 \) has a \( y \) - value of 6. So at \( x = 11 \), which lies on this segment, \( f(11)=6 \).

Answer:

C. \( f(11) = 6 \)