Question

If $f\left(4\right)=10$then the point $(4,\_\_\_)$is on the graph of $f$.

Short answer

If $f\left(4\right)=10$then the point $(4,10)$is on the graph of $f$.

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 $f\left(4\right)=10$, thus the coordinate pair $\left(x=4,y=10\right)$ must lie on this graph, then the point$(4,10)$ is on the graph of $f$ .

Step 3. Evaluate the results.

If$f\left(4\right)=10$ then the point $(4,10)$is on the graph of$f$.