# The following definition is discussed in advanced mathematics courses.

The following definition is discussed in advanced mathematics courses.
Evaluate $f\left(-34\right)$, $-\sqrt{2}$, and $f\left(\pi \right)$.

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Since $x=-\frac{3}{4}$ is a rational number (can be written as a ratio of two integers), then: $f-\frac{3}{4}=0$
Since $x=-\sqrt{2}$ is an irrational number, then: $f\left(-\sqrt{2}\right)=1$
Since $x=\pi$ is an irrational number, then: $f\left(\pi \right)=1$