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
- 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.
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.
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.