Worksheets — Set 18

Algebra I · Functions and function notation

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. If f(x) = 21x − 20, find f(22) = ___ 2. Domain of f(x) = 1/(x − 21): ___ 3. Identify the y-intercept of the graph sketched: ___

_See printable PDF for diagram._

Written practice

1. If f(x) = 20x − 19, find f(21) = ___ 2. Domain of f(x) = 1/(x − 20): ___ 3. Identify the y-intercept of the graph sketched: ___ 4. Where is f(x) increasing? Interval: ___ 5. Compare f(0) and f(22): ___ 6. What does f(20) mean in context? 7. If f(x) = 23x − 22, find f(24) = ___ 8. Domain of f(x) = 1/(x − 23): ___

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More written practice

1. Compare f(0) and f(25): ___ 2. What does f(23) mean in context? 3. If f(x) = 26x − 25, find f(27) = ___ 4. Domain of f(x) = 1/(x − 26): ___ 5. Compare f(0) and f(28): ___ 6. What does f(26) mean in context?

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Patterns and rules

1. If f(x) = 37x − 36, find f(38) = ___ 2. Domain of f(x) = 1/(x − 37): ___ 3. Identify the y-intercept of the graph sketched: ___

_See printable PDF for diagram._

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Stretch

1. If f(x) = 45x − 44, find f(46) = ___ 2. Domain of f(x) = 1/(x − 45): ___

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Parent tip: Sketch graphs from key points