FUNCTIONS: RELATIONS DAY THREE. Do Now:  Create the mapping and table for the given graph. Then determine the domain and range.

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Presentation transcript:

FUNCTIONS: RELATIONS DAY THREE

Do Now:  Create the mapping and table for the given graph. Then determine the domain and range.

Homework  Questions?  Concerns?  Comments?  Frustrations?  ASK AWAY!

Dependent vs. Independent  Independent Variable: The value of the variable in a relation that is subject to choice.  Dependent Variable: The value that is dependent on the value of the the independent variable.

Example One:  The graph below represents the height of a football after it is kicked downfield. Identify the independent and the dependent variables for the relation. Then describe what happens in the graph.

Example One: Answers The independent variable is time and the dependent variable is height. The football starts at the ground when it is kicked. It gains height until it reaches a maximum height before it begins to fall back down to the ground

Example Two:  The graph below represents the price of stock over time. Identify the independent and dependent variable for the relation. Then describe what happens in the graph.

Example Two Answers  The independent variable is time and the dependent variable is price. The prices increases steadily, then it falls, then it increases, then it falls again.

Continuous vs. Discrete  Continuous set: A set that has fluidity with numbers (i.e. can have fractional/decimal amounts)  Discrete set: A set of distinct numbers.

Discrete vs. Continuous

Discrete vs. Continuous Domain/Range Domain? Range?

Discrete vs. Continuous Domain/Range Domain? Range?

Notice:  Domain/Range for a continuous set will be expressed as an inequality!  Vs. domain/range for a discrete set will be expressed as a list of numbers.

Discrete vs. Continuous

Practice Domain? Range? Note: What do the arrows mean?

Practice Domain? Range? Note: What do the arrows mean?

Practice  Try some on your own/in small groups. As always call me over if you are struggling!

Exit Ticket  Indicate the independent vs. dependent variable in the following situation, then explain what is happening in the graph. The graph shows Russell’s height at various ages. Is the data continuous or discrete?