Question

Tell whether each set of ordered pairs representd a function. Justify your answers.

a. (0,0), (1,1), (2,2), (3,3), (4,4)
b. (0,8), (1,6), (2,4), (3,2), (4,0)
c. (3,0), (3,1), (3,2), (3,3), (3,4)

Answer 1

To be a function every x should have only one y-value.
a. (0,0), (1,1), (2,2), (3,3), (4,4) - We do not see repeating values of x, so it is a function

b. (0,8), (1,6), (2,4), (3,2), (4,0)- We do not see repeating values of x, so it is a function

c. (3,0), (3,1), (3,2), (3,3), (3,4) - We see repeating value of x, that means that one value of x corresponds many values of y , so it is not a function.