Exponential Function Characteristics Worksheet

Domain, range, intercepts, asymptote, and end behaviour are analyzed for eight exponential functions per version, with two parallel versions and matching fully worked answer keys.

Grades: Grades 10–12, High School
File type: PDF
Preparation: Print ready

Updated Sep 16, 2022

Subject: Algebra, Math
Topic: Graphing, Algebra
Resource types: Worksheets, Worksheets & Printables
Preparation: Print ready

From the author

About this resource

Exponential function characteristics — domain, range, x- and y-intercepts, horizontal asymptote, increasing/decreasing intervals, and end behaviour — are analyzed for eight functions per version, four given as graphs and four given as equations such as f(x) = 3^(x-2) - 4 and f(x) = 4^(x+1) + 3. The same characteristics — domain, range, intercepts, and end behaviour — are analyzed for quadratic functions in a parallel quadratic characteristics worksheet. Two parallel versions (Version 1 and Version 2) provide different function sets so the worksheet can be reused across two class periods or as a retake, and each version includes a matching, fully worked answer key labeled "KEY" with every domain, range, intercept, asymptote, and end-behaviour value filled in using interval and limit notation. The file is credited to "©EightGoneSideways2022" on every page.

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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Resource details

Concepts & topics

Core concepts

Domain and range
X- and y-intercepts
Horizontal asymptote
End behaviour
Exponential functions

Topics

Graphing Algebra Exponential Math Homework Assessment

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Categories this resource belongs to

Algebra Math Worksheets Worksheets & Printables Grade 12 Grade 11

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