Question

identifying functions independent practice
name
date
pd
students were asked to create a representation of y as a function of x. circle the names of the students who correctly completed the task. then, unscramble the underlined letters of the circled names to answer the question at the bottom
charlotte
sofia
deshaun
jace
nathan
colby
appy
orlando
stephanie

Explanation:

Step1: Recall function definition

A function is a relation where each input (x - value) has exactly one output (y - value).

Step2: Analyze Charlotte's graph

The graph passes the vertical - line test, so it represents a function.

Step3: Analyze Sofia's mapping

The x - value of 6 has two y - values (-6), so it is not a function.

Step4: Analyze Deshaun's set

The x - value of -6 has two y - values (7 and 11), so it is not a function.

Step5: Analyze Jace's mapping

The x - value of 5 has two y - values (6 and -6), so it is not a function.

Step6: Analyze Nathan's table

Each x - value has a unique y - value, so it is a function.

Step7: Analyze Colby's graph

It fails the vertical - line test, so it is not a function.

Step8: Analyze Abby's graph

It is just a set of axes with no points, not a function representation.

Step9: Analyze Orlando's set

Each x - value has a unique y - value, so it is a function.

Step10: Analyze Stephanie's table

The x - value of -4 has two y - values (6 and -6), so it is not a function.

Answer:

Charlotte, Nathan, Orlando