Express the following functions as set of ordered pairs and determine their range (i) f: A -- R, - Maths - Relations and Functions

Question

Express the following functions as set of ordered pairs and
determine their range
(i) f: A --> R, f(x)= x2+1, where A={-1,0,2,4}
(ii) g: A --> N, g(x) = 2x, where a={x:x is a natural number
less than or equal to 10}

Tanveer Sofi · Accepted Answer

i The given function is f:A→R, fx=x2+1,  where A=-1,0,2,4The set of ordered pairs can be written asx,fx:x∈A,fx∈RNow, f-1=-12+1=2f0=02+1=1f2=22+1=5f4=42+1=17The set of ordered pairs is-1,2,0,1,2,5,4,17
The range is the set 2,1,5,17
iiThe given function is g:A→N, gx=2x,  where A=1,2,3,4,5,6,7,8,9,10The set of ordered pairs can be written asx,gx:x∈A,gx∈NNow, f1=21=2f2=22=4f3=23=6
f10=210=20The set of ordered pairs is1,2,2,4,3,6,
10,20
The range is the set 2,4,6,8,10,12,14,16,18,20

Express the following functions as set of ordered pairs and determine their range. (i) f: A --> R, f(x)= x2+1, where A={-1,0,2,4} (ii) g: A --> N, g(x) = 2x, where a={x:x is a natural number less than or equal to 10}

Express the following functions as set of ordered pairs and determine their range.
(i) f: A --> R, f(x)= x2+1, where A={-1,0,2,4}
(ii) g: A --> N, g(x) = 2x, where a={x:x is a natural number less than or equal to 10}