Module · Algebra
Chapter 16: Functions
Algebra
4 topics
What this chapter covers
The 4 topics below make up Functions on the GRE. Click any topic to open its notes, examples and practice test.
Study material & tests
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Notes, worked examples and hint-guided practice for every topic.
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🎯 Topic tests
8 auto-graded questions per topic, pulled from the question bank.
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📝 Chapter test
25 fresh mixed-difficulty questions, timed, with full solutions.
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Formula Reference Sheet
This chapter
Notation & evaluation
| Function value | f(a) = replace every x in the rule with a |
|---|---|
| Composition | f(g(x)) = evaluate g first, then feed into f |
| Custom operator | a ⊕ b = (whatever rule the problem defines) |
Domain & range
| Domain | all inputs x that are allowed |
|---|---|
| Range | all outputs f(x) that can result |
| Denominator rule | exclude any x making a denominator 0 |
| Even-root rule | the quantity under a √ must be ≥ 0 |
GRE reference
🖩 Graphing Calculator