Question

Let A = {a, b, c}, B = {4, 5, 6}, and f = {(a, 6), (b, 4), (c, 6)}. Is f a function from A to B? Explain

Answer 1

Yes

Explanation:

Given

`A = \{a, b, c\}`

`B = \{4, 5, 6\}`

`f = \{(a, 6), (b, 4), (c, 6)\}`

Required

Is f a function of A->B

f can be rewritten as

x --- y

a -- 6

b -- 4

c -- 6

The x column is regarded as the input while the y is the output

Notice that for every input, there is a corresponding output and no input points to multiple outputs.

i.e No value of x has more than 1 value of y

Because of this singular reason; f is a function of A->B