# Algebra I Functions Project (domain and function notation)

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Very structured and short project on functions that focuses on domain and range. Left editable so you can modify! Included are the instructions, rubric, and organized response sheet.

Students are going to graph, describe, and interpret a function that could represent the height of the water in feet while filling up and draining a pool over several hours.

Graph Requirements:

1) Title of the graph at the top and unit labels by the x-axis and y-axis.

2) Must be a function.

3) Must have at least one of each section: increasing, decreasing, and constant.

Description of Graph Requirements:

1) Describe the domain and range for the entire graph using inequalities.

2) Describe the domains for each section using inequalities: increasing, decreasing, and constant.

Function Notation Requirements:

1) Must write 4 function notation statements and interpret them using your graph

(ex β f(3) = 5 means after 3 hours the poolβs water level is 5 feet)

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If π§ is a function and πΉ is an element of its domain, then π§(πΉ) denotes the output of π§ corresponding to the input πΉ. The graph of π§ is the graph of the equation πΊ = π§(πΉ).
Total Pages
2 pages
Rubric only
Teaching Duration
45 minutes
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