Worksheets — Set 12

Pre-calculus · Function families and transformations

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

Warm-up

1. If f(x) = 15x − 14, find f(16) = ___ 2. Domain of f(x) = 1/(x − 15): ___ 3. Identify the y-intercept of the graph sketched: ___

_See printable PDF for diagram._

Written practice

1. If f(x) = 14x − 13, find f(15) = ___ 2. Domain of f(x) = 1/(x − 14): ___ 3. Identify the y-intercept of the graph sketched: ___ 4. Where is f(x) increasing? Interval: ___ 5. Compare f(0) and f(16): ___ 6. What does f(14) mean in context? 7. If f(x) = 17x − 16, find f(18) = ___ 8. Domain of f(x) = 1/(x − 17): ___

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More written practice

1. Compare f(0) and f(19): ___ 2. What does f(17) mean in context? 3. If f(x) = 20x − 19, find f(21) = ___ 4. Domain of f(x) = 1/(x − 20): ___ 5. Compare f(0) and f(22): ___ 6. What does f(20) mean in context?

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Patterns and rules

1. If f(x) = 31x − 30, find f(32) = ___ 2. Domain of f(x) = 1/(x − 31): ___ 3. Identify the y-intercept of the graph sketched: ___

_See printable PDF for diagram._

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Parent tip: Sketch graphs from key points