Description
Everything students need to master function basics in Algebra 1 — from the definition and vertical line test to identifying increasing, decreasing, and constant intervals. Fully digital, self-grading, and no prep required.
★ WHAT'S COVERED (4 Topics)
• Defining Functions — the "exactly one output" rule, function notation f(x), the vertical line test, identifying functions from ordered pairs and tables; visual canvas diagrams showing function vs. non-function
• Domain & Range — inputs (domain) and outputs (range) from tables, ordered pairs, graphs, and equations; how to read domain/range from a graph using arrows and endpoints; live parabola canvas with domain arrows
• Determine if a Function is Linear — from graphs (straight line?), equations (degree 1?), and tables (constant rate of change?); side-by-side linear vs. non-linear canvas graphs; rate of change calculation from tables
• Increasing, Decreasing & Constant Functions — reading behavior left-to-right from graphs, connecting slope sign to behavior (positive → increasing, negative → decreasing, zero → constant), identifying intervals on non-linear functions; piecewise canvas showing all three behaviors color-coded
★ FEATURES
✓ 6 interactive tabs
✓ Canvas-drawn coordinate planes: vertical line test illustration, parabola domain/range, linear vs. non-linear comparison, piecewise behavior graph
✓ 16 practice problems across all topics
✓ 18-question comprehensive quiz with instant detailed feedback
✓ 4 fully stepped worked examples: "Is it a function?", domain & range from a restricted set, linearity from a table, describing behavior from slope
✓ Answer positions randomized (A, B, C, D all used) — stops pattern guessing
✓ No login, no printing, works in any browser
★ ALIGNED TO
• CCSS 8.F.A.1 — Understanding functions
• CCSS 8.F.B.5 — Describing functional relationships from graphs
• F-IF.A.1, F-IF.B.4, F-IF.B.6 — Function definition, domain/range, rate of change
★ PERFECT FOR
Algebra 1, 8th grade math, functions unit introduction, test prep, sub plans, independent review.
Function Notes Defining, Domain & Range, Linear, Increasing/Decreasing Algebra
Highlights
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Description
Everything students need to master function basics in Algebra 1 — from the definition and vertical line test to identifying increasing, decreasing, and constant intervals. Fully digital, self-grading, and no prep required.
★ WHAT'S COVERED (4 Topics)
• Defining Functions — the "exactly one output" rule, function notation f(x), the vertical line test, identifying functions from ordered pairs and tables; visual canvas diagrams showing function vs. non-function
• Domain & Range — inputs (domain) and outputs (range) from tables, ordered pairs, graphs, and equations; how to read domain/range from a graph using arrows and endpoints; live parabola canvas with domain arrows
• Determine if a Function is Linear — from graphs (straight line?), equations (degree 1?), and tables (constant rate of change?); side-by-side linear vs. non-linear canvas graphs; rate of change calculation from tables
• Increasing, Decreasing & Constant Functions — reading behavior left-to-right from graphs, connecting slope sign to behavior (positive → increasing, negative → decreasing, zero → constant), identifying intervals on non-linear functions; piecewise canvas showing all three behaviors color-coded
★ FEATURES
✓ 6 interactive tabs
✓ Canvas-drawn coordinate planes: vertical line test illustration, parabola domain/range, linear vs. non-linear comparison, piecewise behavior graph
✓ 16 practice problems across all topics
✓ 18-question comprehensive quiz with instant detailed feedback
✓ 4 fully stepped worked examples: "Is it a function?", domain & range from a restricted set, linearity from a table, describing behavior from slope
✓ Answer positions randomized (A, B, C, D all used) — stops pattern guessing
✓ No login, no printing, works in any browser
★ ALIGNED TO
• CCSS 8.F.A.1 — Understanding functions
• CCSS 8.F.B.5 — Describing functional relationships from graphs
• F-IF.A.1, F-IF.B.4, F-IF.B.6 — Function definition, domain/range, rate of change
★ PERFECT FOR
Algebra 1, 8th grade math, functions unit introduction, test prep, sub plans, independent review.
