Question

If the point $(3,7)$is on the graph of $f$, then $f\left(3\right)=\_\_\_$.

Short answer

If the point $(3,7)$is on the graph of $f$, then $f\left(3\right)=7$.

Step-by-step solution

Step 1. Use definition of a graph of a function.

A function is defined as, given a set of inputs X and a set of possible outputs Y as a set of ordered pairs (x, y). We can write the statement that f is a function from X to Y using the function notationf: $X\to Y$.

The graph of a function f is the set of all points in the plane of the form (x, f(x)).

Step 2. find the y-coordinate.

We are given that $(3,7)$, lies on this graph thus the coordinate pair $\left(x=3,y=7\right)$, then the point$(3,7)$ is on the graph of $f$ .

Step 3. Evaluate the results.

If the point $(3,7)$ is on the graph of $f$, then $f\left(3\right)=7$ .