## Analyzing Functional Relationships by Graphing

#### Aligned To Common Core Standard:

**Grade 8 Functions** - 8.F.B.5

How to Analyze Functional Relationships by Graphing - Analyzing a functional relationship is not as difficult as it may seem, and yet many Grade 8 students often find it daunting. Using the right examples backed up by the right theoretical understanding can make analyzing functional relationships easier. A relation is simply a set of all the ordered pairs. Remember, not all relations are functional relationships. A function exists when each x-value (independent value, input) paired with exactly one y-value (dependent value, output). This sort of pairing is referred to as a functional relationship. To understand a functional domain, you need to understand what a function is. A function is when each member of the domain is associated with just one of the members of the range. There is another way of analyzing a functional relation. If you can make a straight vertical line that can touch two or more points on the graph simultaneously, it means that the relationship is not functional.

### Printable Worksheets And Lessons

- Explaining Graphs
Step-by-Step Lesson- This is a great activity for students to
understand what real graph lines actually mean.

- Guided Lesson
- Now you are asked to explain graphs. It was super easy when you
were just plotting points, now you have to tell what they mean.

- Guided Lesson Explanation
- Here is another example of how you can show the answers in many
ways.

- Independent Practice
- A very neat way to lock down problems that involve graphs.

- Matching Worksheet
- Match the graphs to their overall meaning and feelings.

- Graphing Functions Five Pack - Tell us the type of functions that you see here. It's math and vocabulary in one.

#### Homework Sheets

You will find out very quickly how far along students are with understanding what graphs actually mean with this skill.

- Homework 1 - The graph has three stages that go along with the story we have been presented with.
- Homework 2 - Describe the graph of the function between x = 4 and x = 8. We can plot this function in graph. Since there is no value for y, they are just vertical linear graphs at those x coordinates.
- Homework 3 - If the rate of change is constant. So it is a linear function.

#### Practice Worksheets

It is all about understanding what the graphs mean and what they tell us about the variables.

- Practice 1 - Describe the graph of the function. Does the graph display a linear relationship?
- Practice 2 - Jimmy walks to the park in early morning and runs around. After running in the park, he goes home using a bicycle. During which activity is Jimmy moving at the fastest rate?
- Practice 3 - Interpret the the data chart to find a relationship.

#### Math Skill Quizzes

We look at the data from all types of angles here.