The maximum of a function is the highest point on a graph (identified as an ordered pair). For the function below, what is the x-value of its maximum.

For the graphed parabola we can see that the maximum is at (3, 2), then the x-value is x = 3.
For a function f(x), we define the maximum as a value y = f(x₀), such that:
f(x₀) ≥ f(x) for every value in the domain.
In the case of the graph is really easy to identify the maximum, in this case, it is in the vertex of the parabola.
We can see that the maximum is on the point (3, 2)
Then it is at x = 3, y = 2, from that, we can see that the x-value of the graphed function is x = 3.
If you want to learn more about parabolas:
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