Exponential Function Characteristics Worksheet
- Year levels
- Years 9–12
- File type
- Preparation
- Print ready
- Subject
- Algebra, Maths
- Topic
- Graphing, Algebra
- Resource types
- Worksheets
- Preparation
- Print ready
- Australian Curriculum content descriptions
- AC9M10A03 — recognise the connection between algebraic
From the author
About this resource
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 identify the horizontal asymptote of an exponential function.
Students describe end behaviour 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-behaviour 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.
End behaviour description — students describe end behaviour using limit notation as x approaches positive and negative infinity.
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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Australian Curriculum (Version 9.0)
Australian Curriculum content descriptions
Australian Curriculum content descriptions
Australian Curriculum content descriptions
- AC9M10A03 — recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate
Core concepts
Core concepts
Domain and range
X- and y-intercepts
Horizontal asymptote
End behaviour
Exponential functions
Topics
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