Question

Investigate when, historically, the use of the function notation $y=f\left(x\right)$first appeared.

Short answer

The notation of$y=f\left(x\right)$first appeared in$1707-1783$.

Step-by-step solution

Step 1. Given Information

In the given question we have to investigate when, historically, the use of the function notation $y=f\left(x\right)$first appeared.

Step 2. The term "function" was introduced by Gottfried Wilhelm Leibniz (1646-1716) almost fifty years after the publication of Geometry 

The idea of a function was further formalized by Leonhard Euler (pronounced "oiler" 1707-1783) who introduced the notation for a function, $y=f\left(x\right)$.