Chapter 2.4, Problem 45AYU

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

Answer to Problem 45AYU

Solution:

The values of $f\left(1.2\right), f\left(1.6\right)\text{ and} f\left(-1.8\right)\text{ are }2,3,\text{ and}-4$.

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 $f\left(x\right)=\text{int}\left(2x\right)$.

Formula used:

Greatest Integer Function:

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

a. $f\left(1.2\right)=\text{int}\left(2\left(1.2\right)\right)=\text{int}\left(2.4\right)=2$

b. $f\left(1.6\right)=\text{int}\left(2\left(1.6\right)\right)=\text{int}\left(3.2\right)=3$

c. $f\left(-1.8\right)= \text{int}\left(2\left(-1.8\right)\right)=\text{int}\left(-3.6\right)=-4$