Function
A rule or relationship where each input has exactly one output.
Back to NC Math 3 Home6 Practice Sets Complete
Math 3 Strand
Functions
This strand review helps students connect function rules, graphs, tables, and calculator-based checks so they can recognize patterns faster on the NC Math 3 EOC.
Focus on domain and range, transformations, average rate of change, inverses, and piecewise reasoning while using Desmos strategically to compare multiple representations.
Confidence Check
If you can move through Sets 1 to 6 in order, explain what a graph means in words, and use Desmos to test your thinking with tables and intersections, you are building real NC Math 3 EOC readiness.
Objectives Covered
- Evaluate functions from equations, tables, and graphs with steady accuracy.
- Identify domain, range, intercepts, and intervals where a function is increasing or decreasing.
- Interpret and compare functions shown in equations, tables, piecewise rules, and graphs.
- Use average rate of change to describe how one quantity changes compared to another.
- Recognize transformations of parent functions and connect them to graph behavior.
- Use composition, inverse reasoning, and function models in EOC-style contexts.
Key Vocabulary
Student-Friendly Terms to Know
These words show up often in class, in Desmos work, and on function-focused EOC questions.
Domain
The set of possible input values for a function.
Range
The set of possible output values for a function.
Inverse
A function that reverses the original input-output relationship.
Composition
A new function made by using the output of one function as the input of another.
Transformation
A shift, reflection, or stretch that changes the graph of a parent function.
Piecewise Function
A function with different rules for different parts of the domain.
Increasing
A function is increasing when its outputs rise as the inputs move to the right.
Decreasing
A function is decreasing when its outputs fall as the inputs move to the right.
Intercepts
The points where a graph crosses the x-axis or y-axis.
Maximum / Minimum
The highest or lowest output value a function reaches on a graph or interval.
Average Rate of Change
How much the output changes per 1 unit of input over an interval.
Practice Questions
Choose a Functions Practice Set
All 6 sets are ready to use. Start with the skill-builders, then finish with the mixed review and mini mock to build steadier EOC confidence.
Recommended Practice Order
Sets 1 to 6 for Most Students
This order moves from direct function skills to mixed review so students can build confidence before the mini mock.
1
Practice Set 1
Start with function basics.
Review evaluating functions, domain, range, intercepts, and simple graph reading.
2
Practice Set 2
Connect multiple representations.
Compare tables, equations, piecewise rules, and transformations in more connected tasks.
3
Practice Set 3
Push into stronger reasoning.
Explain inverse ideas, model real situations, and justify function decisions.
4
Practice Set 4
Practice switching question types.
Move between quick checks, graph reading, and multi-step function work.
5
Practice Set 5
Build mixed-function stamina.
Blend transformations, average rate, inverses, and modeling in one review set.
6
Practice Set 6
Finish with a mini mock.
Use a short EOC-style set to check pacing, accuracy, and function readiness.
Practice Set 1
DOK 1 Practice Set
Review function notation, domain, range, piecewise evaluation, and key graph features.
Practice Set 2
DOK 2 Practice Set
Connect tables, graphs, and equations while practicing transformations, inverses, and rate of change.
Practice Set 3
DOK 3 Practice Set
Use strategic reasoning to analyze inverse claims, compare representations, and model situations with functions.
Practice Set 4
Mixed Practice A
Blend function basics, transformations, and graph interpretation so students practice switching demands.
Practice Set 5
Mixed Practice B
Tackle richer function questions with composition, domain restrictions, modeling, and comparison tasks.
Practice Set 6
Mini Mock EOC
Finish with a short function-focused mock that feels closer to the pacing and variety of the real EOC.