Chapter 2.4, Problem 46AYU

If $f\left(x\right)=\mathrm{int}\left(\frac{x}{2}\right)$, find

(a) $f\left(1.2\right)$

(b) $f\left(1.6\right)$

(c) $f\left(-1.8\right)$

To determine

To find: The values of $f\left(1.2\right), f\left(1.6\right) \text{and} f\left(-1.8\right)$ using the given function $f\left(x\right)=\text{int}\left(\frac{x}{2}\right)$.

Answer to Problem 46AYU

Solution:

The values of $\underset{\_}{f\left(1.2\right), f\left(1.6\right) \text{and} f\left(-1.8\right)\text{ are }0,0,\text{ and }-1}$.

Explanation of Solution

Given:

It is asked us to find the values of $f\left(1.2\right), f\left(1.6\right) \text{and} f\left(-1.8\right)$ using the given function $f\left(x\right)=\text{int}\left(\frac{x}{2}\right)$.

Formula used:

Greatest Integer Function:

$f\left(x\right)=\text{int}\left(x\right)=$greatest integer less than or equal to $x$.

1. $f\left(1.2\right)=\text{int}\left(\frac{1.2}{2}\right)=\text{int}\left(0.6\right)=0$.
2. $f\left(1.6\right)=\text{int}\left(\frac{1.6}{2}\right)=\text{int}\left(0.8\right)=0$.
3. $f\left(-1.8\right)=\text{int}\left(-\frac{1.8}{2}\right)=\text{int}\left(-0.9\right)=-1$.