Now that you have viewed the video, let’s practice identifying functions. Determine if the given table, graph, or mapping is a functional relationship. Then tell why or why not a functional relationship exists. 

Use your notes to record your answers.

  1. Does the graph below show a function?

Absolute value graph opening up, vertex (0,-5)

 Interactive popup. Assistance may be required.

Check Your Answer

Yes, because it passes a vertical line test OR yes, because each x-value is paired with exactly one y-value. Close Pop Up
  1. Does the data in the set below represent a functional relationship?
{(2, 7), (5, 8), (6, 8), (2, 5)}
Interactive popup. Assistance may be required.

Check Your Answer

No, because the x-value “2” has 2 different y-values.Close Pop Up
  1. Does the graph below show a functional relationship?

Graph- parabola opening left, vertex at (0,0)

 Interactive popup. Assistance may be required.

Check Your Answer

No, because it does not pass a vertical line test OR no, because each x-value has more than one y-value. (For example, the x-value “–2” has 2 different y-values.)Close Pop Up
  1. Does the mapping below represent a function?

Map four different x values to three different y values

 Interactive popup. Assistance may be required.

Check Your Answer

Yes, because each x-value is paired with exactly one y-value.Close Pop Up
  1. Does the data in the table below represent a functional relationship?
x
y
5
20
3
14
2
11
2
10
1
8
Interactive popup. Assistance may be required.

Check Your Answer

No, because the x-value "2" has 2 different y-values.Close Pop Up
  1. Mr. Pappas placed a coordinate grid over a map of the city. He used his office building as the origin of the coordinate grid. The points on the graph below represent locations of meetings that Mr. Pappas will be attending during the week. Does the graph represent a function?

Graph of four points with different x and y values

 Interactive popup. Assistance may be required.

Check Your Answer

Yes, because it passes a vertical line test and/or because each x-value is paired with exactly one y-value.Close Pop Up
  1. Does the mapping below represent a functional relationship?

Map one x value to four different y values

 Interactive popup. Assistance may be required.

Check Your Answer

No, because the x-value “–2” has 4 different y-values.Close Pop Up
  1. Lizzie was given the set of points shown below. Does the data in the set represent a functional relationship?

{(8, 7), (-7, 7), (-3, 7), (2, 7)}

 Interactive popup. Assistance may be required.

Check Your Answer

Yes, because each x-value is paired with exactly one y-value.Close Pop Up

Follow the link below and complete the activity for more practice.

Practice identifying functions.