These ordered pairs are representative of a function. (True/False)?

Question

[(1,3),(5,7),(7,10),(5,11)]

True

False

If g(x) = x - 5, then g(1) equals what?

-4

1

4

no solutions

Answer 1

False because a fn must have a 1-to-1 relation, here you have (5,7) and (5,11)

g(1) = 1 - 5 = -4

Answer 2

PROBLEM 1:

In a function, a number on the left must only map to one unique value on the right.

You have:

(5,7) and (5,11)

This is not a function because 5 can't result in two values of both 7 and 11.

Answer:

FALSE

P.S.  It can still be a function if you have repeated values on the right, just not the left.  (1,5) and (2,5) would be okay, but (5,1) and (5,2) would not.

PROBLEM 2:

Simply replace x with 1:

g(x) = x - 5

g(1) = 1 - 5

g(1) = -4

Answer:

-4