Worksheets — Set 8

Algebra I · Exponential functions (intro)

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

Warm-up

1. Linear model: slope 11, through (0, 14). Write f(x) = ___ 2. Exponential: f(0)=11, growth factor 2.4. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___

_See printable PDF for diagram._

Written practice

1. Linear model: slope 10, through (0, 13). Write f(x) = ___ 2. Exponential: f(0)=10, growth factor 2.3. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___ 4. Parameter meaning: in f(x)=18(0.8)ˣ, 0.8 represents ___ 5. Predict f(13) from your model: ___ 6. When does the model break down? Explain. ___ 7. Linear model: slope 13, through (0, 16). Write f(x) = ___ 8. Exponential: f(0)=13, growth factor 2.6. f(x)=___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Parameter meaning: in f(x)=21(0.8)ˣ, 0.8 represents ___ 2. Predict f(16) from your model: ___ 3. Linear model: slope 16, through (0, 19). Write f(x) = ___ 4. Exponential: f(0)=16, growth factor 2.9000000000000004. f(x)=___ 5. Parameter meaning: in f(x)=24(0.8)ˣ, 0.8 represents ___ 6. Predict f(19) from your model: ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Linear model: slope 27, through (0, 30). Write f(x) = ___ 2. Exponential: f(0)=27, growth factor 4. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Look at differences or ratios in tables