1. Let A={1,2,4}. B= {1,4,8,12,32,64} and f:A__B be defined by f(x)=x^3 the find :
A, define the function of (f)
B, find domain of (f)
C, find range of (f)
D, find codomain of (f)
A. The function f is defined as f(x)=x^3 for x in A={1,2,4}
B. The domain of the function f is the set A={1,2,4}
C. To find the range of the function f, we plug in all the elements of A into the function f:
f(1)=1^3=1
f(2)=2^3=8
f(4)=4^3=64
So, the range of the function f is {1,8,64}
D. The codomain of the function f is the set B={1,4,8,12,32,64}
Therefore,
A={1,2,4}
B={1,4,8,12,32,64}
Function f: A->B
f(x)=x^3
Domain of f: A={1,2,4}
Range of f: {1,8,64}
Codomain of f: B={1,4,8,12,32,64}