Algebra 1/domain & range

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Presentation transcript:

Algebra 1/domain & range Relations & Functions Algebra 1/domain & range

Objectives Understand that a relation is a function if each element of domain is assigned to exactly one element in the range. Determine a reasonable domain & range and identify constraints on the domain based on the context of a real-world problem.

What is a relation Relationship between sets of information. Example: If we group everyone in this class according to their height in relation to their name or hair color in relation to their name.

EQ: What is a function? A function is a relation for which each input has exactly one output Input = x-value = independent variable Output = y-value = dependent variable

Think about there being one Queen for every one King Think about there being one Queen for every one King!! It’s not a function if the Queen has more than one King.

example (314)546-8679 Rhonda (213)456-2354 Kelly (452)672-1290 Robert (314)5091278 Forester (345)341-3478 Drake (212)876-3476 Karen Is is possible to dial Karen’s number and get Robert on the phone? How?

Input/Output When you hear input & output, think of the coordinate point (x,y); where x=input and y=output. When you put in x-value, you get out y-value.

Domain & Range Domain is your x-value(input) Range is your y-value(output) X 1 2 3 4 5 Y 11 12 13 14 15

Examples Example 1/page 89 Student’s Do: Identify the domain & Range of each function A. B. X 2 5 9 Y 3 7 8 X 4 6 8 Y 2 3 5