Worksheets — Set 5

Algebra II · Exponential and logarithmic functions

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

Warm-up

1. Linear model: slope 8, through (0, 11). Write f(x) = ___ 2. Exponential: f(0)=8, growth factor 2.1. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___

_See printable PDF for diagram._

Written practice

1. Linear model: slope 7, through (0, 10). Write f(x) = ___ 2. Exponential: f(0)=7, growth factor 2. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___ 4. Parameter meaning: in f(x)=15(0.8)ˣ, 0.8 represents ___ 5. Predict f(10) from your model: ___ 6. When does the model break down? Explain. ___ 7. Linear model: slope 10, through (0, 13). Write f(x) = ___ 8. Exponential: f(0)=10, growth factor 2.3. f(x)=___

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More written practice

1. Parameter meaning: in f(x)=18(0.8)ˣ, 0.8 represents ___ 2. Predict f(13) from your model: ___ 3. Linear model: slope 13, through (0, 16). Write f(x) = ___ 4. Exponential: f(0)=13, growth factor 2.6. f(x)=___ 5. Parameter meaning: in f(x)=21(0.8)ˣ, 0.8 represents ___ 6. Predict f(16) from your model: ___

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Patterns and rules

1. Linear model: slope 24, through (0, 27). Write f(x) = ___ 2. Exponential: f(0)=24, growth factor 3.7. 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