Worksheets — Set 17

Algebra I · Functions and function notation

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

Warm-up

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: ___

_See printable PDF for diagram._

Written practice

1. If f(x) = 19x − 18, find f(20) = ___ 2. Domain of f(x) = 1/(x − 19): ___ 3. Identify the y-intercept of the graph sketched: ___ 4. Where is f(x) increasing? Interval: ___ 5. Compare f(0) and f(21): ___ 6. What does f(19) mean in context? 7. If f(x) = 22x − 21, find f(23) = ___ 8. Domain of f(x) = 1/(x − 22): ___

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More written practice

1. Compare f(0) and f(24): ___ 2. What does f(22) mean in context? 3. If f(x) = 25x − 24, find f(26) = ___ 4. Domain of f(x) = 1/(x − 25): ___ 5. Compare f(0) and f(27): ___ 6. What does f(25) mean in context?

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Patterns and rules

1. If f(x) = 36x − 35, find f(37) = ___ 2. Domain of f(x) = 1/(x − 36): ___ 3. Identify the y-intercept of the graph sketched: ___

_See printable PDF for diagram._

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Stretch

1. If f(x) = 44x − 43, find f(45) = ___ 2. Domain of f(x) = 1/(x − 44): ___

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Parent tip: Sketch graphs from key points