Worksheets — Set 6

Algebra II · Exponential and logarithmic functions

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

Warm-up

1. Linear model: slope 9, through (0, 12). Write f(x) = ___ 2. Exponential: f(0)=9, growth factor 2.2. f(x)=___ 3. Which model fits: equal differences or equal ratios? ___

_See printable PDF for diagram._

Written practice

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? ___ 4. Parameter meaning: in f(x)=16(0.8)ˣ, 0.8 represents ___ 5. Predict f(11) from your model: ___ 6. When does the model break down? Explain. ___ 7. Linear model: slope 11, through (0, 14). Write f(x) = ___ 8. Exponential: f(0)=11, growth factor 2.4. f(x)=___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Parameter meaning: in f(x)=19(0.8)ˣ, 0.8 represents ___ 2. Predict f(14) from your model: ___ 3. Linear model: slope 14, through (0, 17). Write f(x) = ___ 4. Exponential: f(0)=14, growth factor 2.7. f(x)=___ 5. Parameter meaning: in f(x)=22(0.8)ˣ, 0.8 represents ___ 6. Predict f(17) from your model: ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Linear model: slope 25, through (0, 28). Write f(x) = ___ 2. Exponential: f(0)=25, growth factor 3.8000000000000003. 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