Question

Suppose g is the function g(x) = 2^x and g : {1, 2, 3} ->{1, 2, 4, 8}

Is g one-to-one:

Is g onto:

Answer 1

Explanation:

Given that g is a function from g : {1, 2, 3} ->{1, 2, 4, 8}

by the function

`g(x) = 2^x`

i.e. we have
`g(1) =2\\g(2) = 4\\g(3) =8`

Range = {2,4,8} Since there is an extra element 1 in the co domain which is not in range , g is not on to

But g is one to one as 1,2,3 have different images.