Worksheets — Set 1

Algebra II · Honors · Exponential and logarithmic functions

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

Warm-up

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? ___

_See printable PDF for diagram._

Written practice

1. Linear model: slope 3, through (0, 6). Write f(x) = ___ 2. Exponential: f(0)=3, growth factor 1.6. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___ 4. Parameter meaning: in f(x)=11(0.8)ˣ, 0.8 represents ___ 5. Predict f(6) from your model: ___ 6. When does the model break down? Explain. ___ 7. Linear model: slope 6, through (0, 9). Write f(x) = ___ 8. Exponential: f(0)=6, growth factor 1.9. f(x)=___

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More written practice

1. Parameter meaning: in f(x)=14(0.8)ˣ, 0.8 represents ___ 2. Predict f(9) from your model: ___ 3. Linear model: slope 9, through (0, 12). Write f(x) = ___ 4. Exponential: f(0)=9, growth factor 2.2. f(x)=___ 5. Parameter meaning: in f(x)=17(0.8)ˣ, 0.8 represents ___ 6. Predict f(12) from your model: ___

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Patterns and rules

1. Linear model: slope 20, through (0, 23). Write f(x) = ___ 2. Exponential: f(0)=20, growth factor 3.3. 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