Worksheets — Set 16

Algebra I · Honors · Exponential patterns and function comparisons

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

Warm-up

1. Linear model: slope 19, through (0, 22). Write f(x) = ___ 2. Exponential: f(0)=19, growth factor 3.2. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___

_See printable PDF for diagram._

Written practice

1. Linear model: slope 18, through (0, 21). Write f(x) = ___ 2. Exponential: f(0)=18, growth factor 3.1. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___ 4. Parameter meaning: in f(x)=26(0.8)ˣ, 0.8 represents ___ 5. Predict f(21) from your model: ___ 6. When does the model break down? Explain. ___ 7. Linear model: slope 21, through (0, 24). Write f(x) = ___ 8. Exponential: f(0)=21, growth factor 3.4000000000000004. f(x)=___

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More written practice

1. Parameter meaning: in f(x)=29(0.8)ˣ, 0.8 represents ___ 2. Predict f(24) from your model: ___ 3. Linear model: slope 24, through (0, 27). Write f(x) = ___ 4. Exponential: f(0)=24, growth factor 3.7. f(x)=___ 5. Parameter meaning: in f(x)=32(0.8)ˣ, 0.8 represents ___ 6. Predict f(27) from your model: ___

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Patterns and rules

1. Linear model: slope 35, through (0, 38). Write f(x) = ___ 2. Exponential: f(0)=35, growth factor 4.800000000000001. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___

_See printable PDF for diagram._

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Stretch

1. Linear model: slope 43, through (0, 46). Write f(x) = ___ 2. Exponential: f(0)=43, growth factor 5.6000000000000005. f(x)=___

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Parent tip: Look at differences or ratios in tables