Worksheets — Set 3

Pre-calculus · Function families and transformations

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

Warm-up

1. If f(x) = 6x − 5, find f(7) = ___ 2. Domain of f(x) = 1/(x − 6): ___ 3. Identify the y-intercept of the graph sketched: ___

_See printable PDF for diagram._

Written practice

1. If f(x) = 5x − 4, find f(6) = ___ 2. Domain of f(x) = 1/(x − 5): ___ 3. Identify the y-intercept of the graph sketched: ___ 4. Where is f(x) increasing? Interval: ___ 5. Compare f(0) and f(7): ___ 6. What does f(5) mean in context? 7. If f(x) = 8x − 7, find f(9) = ___ 8. Domain of f(x) = 1/(x − 8): ___

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More written practice

1. Compare f(0) and f(10): ___ 2. What does f(8) mean in context? 3. If f(x) = 11x − 10, find f(12) = ___ 4. Domain of f(x) = 1/(x − 11): ___ 5. Compare f(0) and f(13): ___ 6. What does f(11) mean in context?

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Patterns and rules

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._

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Parent tip: Sketch graphs from key points