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NDA 2018

Exam: NDA
Year: 2018
Subject: Mathematics
Chapter: Functions

NDA 2018 · Mathematics · Functions

Suppose f: ℝ arrow ℝ is defined by f(x)=(x^2)/(1+x^2) . What is the...

Suppose

f: \mathbb{R} \rightarrow \mathbb{R}

is defined by

f(x)=\frac{x^2}{1+x^2}

. What is the range of the function?

Options

A $[0,1)$
B $[0,1]$
C $(0,1]$
D $(0,1)$

Correct answer

A. $[0,1)$

Step-by-step solution

f(x)=\frac{x^2}{1+x^2}

for

x=0, f(0)=0

for

\mathrm{x}=1, \mathrm{f}(1)=\frac{1}{2}=0.5

So, range is

[0,1)

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