Respuesta :

2. it fails the vertical line test so there are the same inputs

Answer:

2nd answer : it is NOT a function, because some (actually all) input value are associated with more than one output value.

Step-by-step explanation:

the "input values" are the x-values. when we go along the x-axis, are there any values of x that have more than 1 y-value ?

yes, it starts with x = -5.

before that there are no defined y-values.

starting with x = -5 up to x = 6 there are at least 2 associated y-values (y = 9 and y = 3) for any possible value of x.

for x exactly -5 and 6 there are in fact infinitely many y-values associated (the lines between y = 3 and y = 9).

but a relation is only then a function, if every defined value of x has exactly one associated y-value.