Worksheets — Set 2

Pre-calculus · Honors · Multi-step modeling and exam-style problems

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

Warm-up

1. Linear model: slope 5, through (0, 8). Write f(x) = ___ 2. Exponential: f(0)=5, growth factor 1.8. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___

_See printable PDF for diagram._

Written practice

1. Linear model: slope 4, through (0, 7). Write f(x) = ___ 2. Exponential: f(0)=4, growth factor 1.7. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___ 4. Parameter meaning: in f(x)=12(0.8)ˣ, 0.8 represents ___ 5. Predict f(7) from your model: ___ 6. When does the model break down? Explain. ___ 7. Linear model: slope 7, through (0, 10). Write f(x) = ___ 8. Exponential: f(0)=7, growth factor 2. f(x)=___

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More written practice

1. Parameter meaning: in f(x)=15(0.8)ˣ, 0.8 represents ___ 2. Predict f(10) from your model: ___ 3. Linear model: slope 10, through (0, 13). Write f(x) = ___ 4. Exponential: f(0)=10, growth factor 2.3. f(x)=___ 5. Parameter meaning: in f(x)=18(0.8)ˣ, 0.8 represents ___ 6. Predict f(13) from your model: ___

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Patterns and rules

1. Linear model: slope 21, through (0, 24). Write f(x) = ___ 2. Exponential: f(0)=21, growth factor 3.4000000000000004. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___

_See printable PDF for diagram._

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Parent tip: Look at differences or ratios in tables