CPM Homework Help : GB8I Problem 1-47

Which of the relationships below are functions? If a relationship is not a function, give a reason to support your conclusion.

Answer (a):

There is more than one output value for some inputs; therefore, the relation is not a function.

input $\boldsymbol {(x)}$
output $\boldsymbol {(y)}$
$–3$
$19$
$5$
$19$
$19$
$0$
$0$
$–3$

Answer (b):

It is a function. Every input had only one output even if it is the same output such as $19$ .

input $\boldsymbol {(x)}$
$7$
$–2$
$0$
$7$
$4$
output $\boldsymbol {(y)}$
$10$
$0$
$10$
$3$
$0$

input $\boldsymbol {(x)}$	$7$	$–2$	$0$	$7$	$4$
output $\boldsymbol {(y)}$	$10$	$0$	$10$	$3$	$0$

Hint (c):

There is more than one output value for $x = 7$ . Is this relation a function?

Answer (d):

It is a function.