Question
If the function $f$ is defined by $f ( x )=\left\{\begin{array}{ll}x+2 ; & x>1 \\ 2 ; & -1 \leq x \leq 1 \\ x-1 ; & -3

Answer

f(x) = x + 2 when x = {2, 3, 4, ……}
f(x) = 2
f(x) = x – 1 when x = {– 2}
f(x) = 2
f(0) = 2

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A man is standing on the deck of a ship, which is $40 m$ above water level. He observes the angle of elevation of the top of a hill as $60^{\circ}$ and the angle of depression of the base of the hill as $30^{\circ}$. Calculate the distance of the hill from the ship and the height of the hill $(\sqrt{3}=1.732)$
In a two children family, find the probability that there is at least one girl in a family
Identify the following sequence is in G.P.?
3, 9, 27, 81, …
If $x \sin ^3 \theta+y \cos ^3 \theta=\sin \theta \cos \theta$ and $x \sin \theta=y \cos \theta$, then prove that $x^2+y^2=1$
Three villagers $A, B$ and $C$ can see each other using telescope across a valley. The horizontal distance between $A$ and $B$ is $8 km$ and the horizontal distance between $B$ and $C$ is $12 km$. The angle of depression of $B$ from $A$ is $20^{\circ}$ and the angle of elevation of $C$ from $B$ is $30^{\circ}$. Calculate the vertical height between $A$ and $B .\left(\tan 20^{\circ}=0.3640, \sqrt{3}=1.732\right)$
Construct a $3 \times 3$ matrix whose elements are given by $a _{ ij }=| i -2 j |$
Use Euclid’s Division Algorithm to find the Highest Common Factor (H.C.F) of 10224 and 9648
Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r units.
A bird is flying from A towards B at an angle of 35°, a point 30 km away from A. At B it changes its course of flight and heads towards C on a bearing of 48° and distance 32 km away. How far is B to the North of A?
(sin 55° = 0.8192, cos 55° = 0.5736, sin 42° = 0.6691, cos 42° = 0.7431)
Prove the following identities.
$\tan ^4 \theta+\tan ^2 \theta=\sec ^4 \theta-\sec ^2 \theta$