Students distinguish linear additive change from exponential multiplicative change by using differences, ratios, tables, equations, graphs, and comparisons of initial values and long-term behavior. They determine initial values and growth or decay factors, evaluate functions of the form , recognize growth and decay, write models from contexts and equally spaced tables, and interpret basic graphs, transformations, intercepts, domain, range, end behavior, and horizontal asymptotes. They solve simple exponential equations by rewriting both sides with a common positive base and equating exponents, without using logarithmic methods, regression, continuous compounding, or generalized exponential models.
On this page:
- Master skills like “Evaluate exponential functions”, “Determine the growth or decay factor”, and “Write exponential equations from contexts” with unlimited, free practice problems
- Download (or modify) free worksheets on Exponential Functions you can use at home or in class with practice problems across all skills in this group including “Solve simple exponential equations with common bases”, “Determine the initial value of an exponential function”.
- Start working on adaptive units like “Exponential Functions - Practice” or “Exponential Functions - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Exponential Functions: Individual Skills
Master 5 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
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Practice 'Determine the growth or decay factor'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
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Download/Modify Free Grade 11 'Exponential Functions' Worksheet
Print this free 'Exponential Functions' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Determine the growth or decay factor
- Determine the initial value of an exponential function
- Evaluate exponential functions
- Solve simple exponential equations with common bases
- Write exponential equations from contexts
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Exponential Functions) through scaffolded problems that grow in difficulty as concepts are understood.