Question

Let D = x be the domain, and let ƒ(x) = “time spent on a Ferris wheel” be the possible function. Determine if the relation is an example of a function.

A) Yes, ƒ is a function.
B) No, ƒ is not a function.

Answer 1

Correct choice is B

Explanation:

A relation is a function if for every input value x there is at most one output value y.

D = x is the height above the ground is the domain of the relation,

ƒ(x) = “time spent on a Ferris wheel” is the relation.

Since you can be on the same height above the ground many times (for the 1st time, then after one revolution of the wheel, after two revolutions and so on). Hence, for one input height there are many outputs times. This means that the relation is not a function.