Vocabulary

Function: A relation in which every member of the domain (input value) is paired with exactly one member of the range (output value).

Linear Function: A function in which the graph of the solutions forms a straight line.

Relation: Any set of ordered pairs.

Domain: The set of x-coordinates in a relation.

Range: The set of y-coordinates in a relation.

Continuous data can take on any value, so there is no space between data values for a given domain. Represented on a graph with a solid line.

Discrete data have space between possible data values. Represented on a graph with just points, no line is drawn.

Concept(s)

Identify the graphical representation of a given function.

Determine if the given data is discrete or continuous.

Rules

Use the slope and y-intercept to identify the correct graphical representation of the given function.

To check whether the given data is discrete or continuous, use the following information:

Continuous data can take on any value, so there is no space between data values for a given domain. Represented on a graph with a solid line.

Discrete data have space between possible data values. Represented on a graph with just points, no line is drawn.

Example 1

Which graph represents the function y = x2 + 3 ? 

Solution

The graph must have a y-intercept of 3 and a slope of 12.

Example 2

Solution

By definition, discrete data have space between possible values, and are represented by points.  

Number of apples in a box would be whole numbers only.  

Pre-requisite Skills

Functions (8.5.3)

Relations (8.5.2)

Representing Relationships (8.5.1)