Chapter 2: Q. 45 (page 101)

If $f (x) = i n t (2 x)$ , find
$f (1.2)$
$f (1.6)$
$f (- 1.8)$

Short Answer

Expert verified

The value of $f (1.2)$ is $2$ .
The value of $f (1.6)$ is $3$ .
The value of $f (- 1.8)$ is $- 4$ .

Step by step solution

Step 1. Given Information

We are given a function,

$f (x) = i n t (2 x)$

The greatest integer function gives the integer less than or equal to the given number.

Part(a) Step 1. Finding part(a)

Putting $x = 1.2$ in the given function, we get

$f (x) = i n t (2 x) f (1.2) = i n t (2 (1.2)) f (1.2) = i n t (2.4)$

The greatest integer less than $2.4$ is $2$ , so

$f (1.2) = 2$

Part(b) Step 1. Finding part(b)

Putting $x = 1.6$ in the given function, we get

$f (x) = i n t (2 x) f (1.6) = i n t (2 (1.6)) f (1.6) = i n t (3.2)$

The greatest integer less than $3.2$ is $3$ , so

$f (1.6) = 3$

Part(c) Step 1. Finding part(c)

Putting $x = - 1.8$ in the given function, we get

role="math" localid="1645892879987" $f (x) = i n t (2 x) f (- 1.8) = i n t (2 (- 1.8)) f (- 1.8) = i n t (- 3.6)$

The greatest integer less than $- 3.6$ is $- 4$ , so

$f (- 1.8) = - 4$

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If $f (x) = i n t (2 x)$ , find
$f (1.2)$
$f (1.6)$
$f (- 1.8)$

Short Answer

Step by step solution

Step 1. Given Information

Part(a) Step 1. Finding part(a)

Part(b) Step 1. Finding part(b)

Part(c) Step 1. Finding part(c)

One App. One Place for Learning.

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If f(x)=int(2x), findf1.2f1.6f-1.8

Short Answer

Step by step solution

Step 1. Given Information

Part(a) Step 1. Finding part(a)

Part(b) Step 1. Finding part(b)

Part(c) Step 1. Finding part(c)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

If $f (x) = i n t (2 x)$ , find
$f (1.2)$
$f (1.6)$
$f (- 1.8)$