SAT Math · Study & Practice
Function Concepts
A function is a rule that assigns exactly one output to each input. This chapter covers function notation, evaluation, domain, range and interpreting functions in context. Read each topic, work the problems with the hint ladder, then take the 8-question topic test.
Topics
1
Function Notation
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2
Function Evaluation
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3
Domain
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4
Range
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5
Function Interpretation
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Chapter test
Formula Reference Sheet
This chapter
Notation & evaluation
| Function notation | f(x) = … ; f(a) is the output at x = a |
|---|---|
| Evaluate | substitute the input for x |
Domain & range
| Domain | allowed inputs (x-values) |
|---|---|
| Range | possible outputs (y-values) |
| Restrictions | no division by 0; no √ of a negative |
Digital SAT reference
Area & Circumference
| Circle area | A = πr² |
|---|---|
| Circle circumference | C = 2πr |
| Rectangle | A = ℓw |
| Triangle | A = ½ b h |
Volume
| Rectangular box | V = ℓwh |
|---|---|
| Cylinder | V = πr²h |
| Sphere | V = 4⁄3 πr³ |
| Cone | V = 1⁄3 πr²h |
| Pyramid | V = 1⁄3 ℓwh |
Right triangles
| Pythagorean theorem | a² + b² = c² |
|---|---|
| 30°–60°–90° | sides x : x√3 : 2x |
| 45°–45°–90° | sides s : s : s√2 |
Constants
| Degrees in a circle | 360° |
|---|---|
| Radians in a circle | 2π |
| Angles of a triangle | sum = 180° |
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