Ms. Terkper's Digital Classroom

Unit 7: Relations & Functions (Math 10C)

Relations, intercepts, domain & range, function notation, and interpreting & using graphs.

Vertical Line Test Domain & Range Intercepts Function Notation \(f(x)\) Graph Interpretation

What You Should Be Able To Do

Identify whether a relation is a function (vertical line test, mappings, tables).
Find x- and y-intercepts from equations, tables, or graphs.
State domain and range using set/interval notation as appropriate.
Use and interpret function notation \(f(x)\); evaluate and solve \(f(x)=k\).
Interpret features of graphs and connect multiple representations.

I can decide if a relation is a function. I can find intercepts. I can state domain & range. I can use \(f(x)\) correctly. Progress autosaves to this device.

Video Library

Relations vs Functions

Mapping diagrams, VLT, examples.

youtube.com – “relations vs functions vertical line test”

Domain & Range from Graphs

Interval/set notation and endpoints.

youtube.com – “domain and range from graphs”

Function Notation \(f(x)\)

Evaluate \(f(a)\), solve \(f(x)=k\).

youtube.com – “function notation evaluate f(x)”

Intercepts (Linear/Quadratic)

From equations, tables, and graphs.

youtube.com – “find intercepts linear quadratic graph”

Interactive Tools

Ordered-Pair Analyzer (VLT + Domain/Range + Intercepts)

Paste points (formats accepted: (x,y) or x,y, one per line)

Grapher & Function Notation

Type

Linear coefficients

x-min

x-max

y-min

y-max

Evaluate \(f(x)\) at \(x=\)

Solve \(f(x)=k\) with \(k=\)

Unit 7 Quizzes

Quiz 1: Relations & Functions

VLT, mappings, reading tables/graphs.

Quiz 2: Domain, Range & Intercepts

From equations and graphs; function notation.

Downloadable Review

Quick Practice Scratchpad

Try: Is \(\{(-1,3),(0,2),(0,-2),(4,1)\}\) a function? For \(y=2x-5\), find intercepts & domain/range. For \(f(x)=x^2-4x+1\), compute \(f(3)\) and solve \(f(x)=5\).