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Chapter 2: Q. 46 (page 101)

If f(x)=intx2, find

  1. f(1.2)
  2. f(1.6)
  3. f(-1.8)

Short Answer

Expert verified
  1. The value of f(1.2)is 0.
  2. The value of f(1.6)is 0.
  3. The value of f(-1.8)is -1.

Step by step solution

01

Step 1. Given Information 

We are given a function,

f(x)=intx2

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

02

Part(a) Step 1. Finding part(a) 

Putting x=1.2in the given function, we get

f(x)=intx2f(1.2)=int1.22f(1.2)=int0.6

The greatest integer less than 1.2is 0, so

f(1.2)=0

03

Part(b) Step 1. Finding part(b) 

Putting x=1.6 in the given function, we get

localid="1645893962967" f(x)=intx2f(1.6)=int1.62f(1.6)=int0.8

The greatest integer less than0.8is0, so

f(1.6)=0

04

Part(c) Step 1. Finding part(c)  

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

role="math" f(x)=intx2f(-1.8)=int-1.82f(-1.8)=int-0.9

The greatest integer less than -0.9 is -1, so

f(-1.8)=-1

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