Question

Mark all the statements that are true.

A. This graph is not a function because the value x = 3 is assigned to more than one y-value.
B. This graph is a function whose range is the set {3}
C. The equation fo this line is x=3.
D. This graph is a function whose domain is the set {3}
E. This graph is a function because the value of x is the same for every value of y.

Answer 1

Option A

Option C

Explanation:

A relationship is defined as a function if and only if each element of the "domain" set is assigned only one element of the "range" set. That is, there is only one output value y assigned to each input value x.

The relation x = 3 is not a function because there are infinite output values y, assigned to the same input element x.

(3, 2), (3, 5) (3, 9) (3,10000)

Then the option A is true

Option C is also true, the equation of the line shown is

`x = 3`

The rest of the options are false because x = 3 is not a function