m2- 3.3 defining functional relationships.notebook · m2 3.3 defining functional...
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M2 3.3 Defining Functional Relationships.notebook
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core: test corrections
• Zella finish your test in Mrs. Cronin's room.• 17a not graded• EVERYONE!!!• Get a piece of paper name & period at the top
> Write Test Corrections on the first line.• Write down the number of the problem you missed.> Rework out each problem missed, showing ALL work.
> Circle answer> Write a sentence for why you missed the problem.
> Use your notes & study guide to help you!!!> Staple to back of test.
• Do MATHia when finished.
Pod Meeting: 2nd half of Core
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learning targets
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M2-3.3 Defining Functional Relationships / / #
Examples: Notes:
EQ: What are functional relationships?
Mapping: Represents two sets of objects or items. Arrows connect the items to represent a relationship between them.• Write as ordered pairs.• Input & output
Set: A collection of numbers, geometric figures, letters, or other objects that have some characteristic in common.• { } Brackets denote a set.
{(1,1), (2,1), (3,5)
(4, 3), (5,7)}
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M2-3.3 Defining Functional Relationships / / #
Examples: Notes:
EQ: What are functional relationships?
Domain: {1, 2, 3, 4, 5}
Range: {1, 3, 5, 7}
Input Output Relation: Any set of ordered pairs or the mapping between a set of inputs and a set of outputs. Input: The sequence of each term.• 1st Number = 1• 2nd Number = 2Function: A rule that relates two quantities so that each input value corresponds to exactly one output value.• Every x value will have only ONE
corresponding y valueDomain: set of all inputs- xRange: set of all outputs- y
Domain Rangex y
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Function Not a Function
Function Function
Not a Function Function
FunctionFunction
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Homework Change
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M2-3.3 Defining Functional Relationships / / #
Examples: Notes:
EQ: What are functional relationships?
Scatter Plot: a graph of a collection of ordered pairs that allows an exploration of the relationship between the points.
Vertical Line Test: is a visual method used to determine whether a relation represented as a graph is a function.
This means you can draw a vertical line and it will only touch the drawing (graphed figure) one time.
If it touches the drawing (graphed figure) more than once, it is not a function.
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M2-3.3 Defining Functional Relationships / / #
Examples: Notes:
EQ: What are functional relationships?
To test if an equation is a function:1. Substitute values for x into the equation.2. Determine if any x-value can be mapped to
more than one y-value.3. If x-value has exactly one y-value, then it is a
function. 4. Graph the function & do the vertical line test.5. Make a map.
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Remember!!