Exponential Function Characteristics Worksheet
- Grades
- High School
- File type
- Answer key
- Included
- Subject
- Math, Algebra
- Topic
- Exponential graphs, Domain and range
- Resource types
- Worksheets
- Answer key
- Included
- Standards
- HSF-IF.B.4
Product description
From the author
This is an Exponential Characteristics Worksheet that will give students practice with finding characteristics.
Two versions are included. There are 8 problems on each version.
Students will complete the characteristics for each function that is graphed.
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In the classroom
Teaching tips & learning objectives
Learning objectives
Students identify the domain and range of an exponential function from its graph or equation.
Students determine the x- and y-intercepts of an exponential function.
Students describe end behavior of an exponential function using limit notation as x approaches positive and negative infinity.
Teaching tips
Use Version 1 for initial instruction and practice, then assign Version 2 as a retake or parallel second-period assignment, since both versions test the same skill set with different functions.
Have students show scratch work for the equation-based functions (items 5-8) on separate paper, as the worksheet's own directions specify.
Use the KEY pages' interval and limit notation as a model, since students often write asymptote and end-behavior answers inconsistently.
Skills covered
Domain and range identification — students state the domain and range of exponential functions given as graphs or equations.
Intercept-finding — students calculate x- and y-intercepts for exponential equations such as f(x) = 3^(x-2) - 4.
Asymptote identification — students identify the horizontal asymptote (e.g. y = -4) for each exponential function.
Good to know
Questions teachers ask about this resource
Why does the worksheet include two separate versions?
Version 1 and Version 2 present parallel sets of exponential functions testing the same characteristics, so the worksheet can be reused for a second class period or as a retake without repeating the same problems.
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Curriculum
Standards, concepts & topics
Standards
Standards
- HSF-IF.B.4 — For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. ★
Core concepts
Core concepts
Domain and range
X- and y-intercepts
Horizontal asymptote
End behavior
Exponential functions
Topics
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