First slide

Functions (XII)

Question

$The range of f (x) = sgn (x^{2} - 2 x + 3) i s$

Easy

A

$\{1\}$
B

$1$
C

${0}$
D

$\{\}$

Solution

$\begin{array}{l} x^{2} - 2 x + 3 = (x - 1)^{2} + 2 > 0 \forall x \in R \\ or f (x) = sgn (x^{2} - 2 x + 3) = 1 \\ Hence, the range is {1} . \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App