Answer: Second option.
Step-by-step explanation:
By definition, a relation is a function if for each input value (value of x) there is an unique output value (value of y).
1) For [tex]f(0)=3[/tex] the input value is [tex]x=0[/tex] and the output value is [tex]y=3[/tex], obtaining the point (0,3) which is not true for the function f(x) shown in the graph.
2) For [tex]f(5)=-1[/tex] the input value is [tex]x=5[/tex] and the output value is [tex]y=-1[/tex], obtaining the point (5,-1) which is true for the function f(x) shown in the graph.
3) For [tex]f(3)=2[/tex] the input value is [tex]x=3[/tex] and the output value is [tex]y=2[/tex], obtaining the point (3,2) which is not true for the function f(x) shown in the graph.
4) For [tex]f(2)=-2[/tex] the input value is [tex]x=2[/tex] and the output value is [tex]y=-2[/tex], obtaining the point (2,-2) which is not true for the function f(x) shown in the graph.
