Question

if the point(2,6) is on the graph of y=f(x) what is the value of f(2)? explain

Answer 1

$f(2)=6$

The graph of a function $f$ is the set of points which satisfy the equation$y=f(x)$ . That is the point $(x,y)$ is on the graph of $f$ if and only if $y=f(x)$

Since the graph of $f$ is the graph of the equation$y=f(x)$ , $f(2)$ is the $y$ coordinate of the point which corresponds to $(x=2)$ . Since the point$(2,6)$ is on the graph, then we have $f(2)=6$