Worksheets — Set 19

Pre-calculus · Function families and transformations

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

Warm-up

1. If f(x) = 22x − 21, find f(23) = ___ 2. Domain of f(x) = 1/(x − 22): ___ 3. Identify the y-intercept of the graph sketched: ___

_See printable PDF for diagram._

Written practice

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: ___ 4. Where is f(x) increasing? Interval: ___ 5. Compare f(0) and f(23): ___ 6. What does f(21) mean in context? 7. If f(x) = 24x − 23, find f(25) = ___ 8. Domain of f(x) = 1/(x − 24): ___

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More written practice

1. Compare f(0) and f(26): ___ 2. What does f(24) mean in context? 3. If f(x) = 27x − 26, find f(28) = ___ 4. Domain of f(x) = 1/(x − 27): ___ 5. Compare f(0) and f(29): ___ 6. What does f(27) mean in context?

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Patterns and rules

1. If f(x) = 38x − 37, find f(39) = ___ 2. Domain of f(x) = 1/(x − 38): ___ 3. Identify the y-intercept of the graph sketched: ___

_See printable PDF for diagram._

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Stretch

1. If f(x) = 46x − 45, find f(47) = ___ 2. Domain of f(x) = 1/(x − 46): ___

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Parent tip: Sketch graphs from key points