question\nfind the value of f(2).\ny = f(x)\nanswer attempt 1 out of 2

Explanation:

Step1: Understand ( f(2) ) meaning

( f(2) ) is the ( y )-value when ( x = 2 ) on the graph ( y = f(x) ).

Step2: Locate ( x = 2 ) on x - axis

Find ( x = 2 ) on the horizontal (x) axis. Then, move vertically to intersect the graph of ( y = f(x) ).

Step3: Determine the ( y )-value

From the graph, at ( x = 2 ), the corresponding ( y )-value (by moving up/down from ( x = 2 ) to the graph) is 7. Wait, let's re - check. Wait, the left - hand line: let's find the equation of the left - hand line. The left - hand line passes through ( (-5,0) ) and ( (0,5) ). The slope ( m=\frac{5 - 0}{0-(-5)}=\frac{5}{5}=1 ). So the equation is ( y-0 = 1\times(x + 5) ), i.e., ( y=x + 5 ). When ( x = 2 ), ( y=2 + 5=7 ). Wait, but wait, the peak is at ( x = 4 ) (since at ( x = 4 ), ( y = 9 )). So for ( x ) from ( - 5 ) to ( 4 ), the function is ( y=x + 5 ). So at ( x = 2 ), ( y=2 + 5 = 7 ). Wait, but let's check the graph again. The grid: each square is 1 unit. At ( x = 0 ), ( y = 5 ); at ( x = 1 ), ( y=6 ); at ( x = 2 ), ( y = 7 ); at ( x = 3 ), ( y = 8 ); at ( x = 4 ), ( y = 9 ). Yes, so when ( x = 2 ), ( y=7 ).

Answer:

7