Worksheets — Set 10

Algebra I · Honors · Exponential patterns and function comparisons

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

Warm-up

1. Linear model: slope 13, through (0, 16). Write f(x) = ___ 2. Exponential: f(0)=13, growth factor 2.6. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___

_See printable PDF for diagram._

Written practice

1. Linear model: slope 12, through (0, 15). Write f(x) = ___ 2. Exponential: f(0)=12, growth factor 2.5. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___ 4. Parameter meaning: in f(x)=20(0.8)ˣ, 0.8 represents ___ 5. Predict f(15) from your model: ___ 6. When does the model break down? Explain. ___ 7. Linear model: slope 15, through (0, 18). Write f(x) = ___ 8. Exponential: f(0)=15, growth factor 2.8. f(x)=___

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More written practice

1. Parameter meaning: in f(x)=23(0.8)ˣ, 0.8 represents ___ 2. Predict f(18) from your model: ___ 3. Linear model: slope 18, through (0, 21). Write f(x) = ___ 4. Exponential: f(0)=18, growth factor 3.1. f(x)=___ 5. Parameter meaning: in f(x)=26(0.8)ˣ, 0.8 represents ___ 6. Predict f(21) from your model: ___

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Patterns and rules

1. Linear model: slope 29, through (0, 32). Write f(x) = ___ 2. Exponential: f(0)=29, growth factor 4.2. 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