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# Standard #: MA.912.AR.5.6

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Given a table, equation or written description of an exponential function, graph that function and determine its key features.

### Clarifications

Clarification 1: Key features are limited to domain; range; intercepts; intervals where the function is increasing, decreasing, positive or negative; constant percent rate of change; end behavior and asymptotes.

Clarification 2: Instruction includes representing the domain and range with inequality notation, interval notation or set-builder notation.

Clarification 3: Within the Algebra 1 course, notations for domain and range are limited to inequality and set-builder.

Clarification 4: Within the Algebra 1 course, exponential functions are limited to the forms , where b is a whole number greater than 1 or a unit fraction or , where .

### General Information

Subject Area: Mathematics (B.E.S.T.)
Strand: Algebraic Reasoning
Status: State Board Approved

#### Related Courses

 Course Number1111 Course Title222 1200310: Algebra 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 1200320: Algebra 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 1200380: Algebra 1-B (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 7912070: Access Mathematics for Liberal Arts (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current)) 7912090: Access Algebra 1B (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current)) 1200315: Algebra 1 for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 1200385: Algebra 1-B for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 7912075: Access Algebra 1 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current)) 1207350: Mathematics for College Liberal Arts (Specifically in versions: 2022 and beyond (current)) 1200710: Mathematics for College Algebra (Specifically in versions: 2022 and beyond (current))

#### Related Access Points

 Access Point Number Access Point Title MA.912.AR.5.AP.6 Given a table, equation or written description of an exponential function, select the graph that represents the function.

#### Formative Assessments

 Name Description Graphing an Exponential Function Students are asked to graph an exponential function and to determine if the function is an example of exponential growth or decay, describe any intercepts, and describe the end behavior of the graph. Comparing Functions - Exponential Students are asked to use technology to graph exponential functions and then to describe the effect on the graph of changing the parameters of the function. Loss of Fir Trees Students are asked to sketch a graph that depicts the exponential decline in the population of fir trees in a forest.

#### Lesson Plan

 Name Description Which Function? This activity has students apply their knowledge to distinguish between numerical data that can be modeled in linear or exponential forms. Students will create mathematical models (graph, equation) that represent the data and compare these models in terms of the information they show and their limitations. Students will use the models to compute additional information to predict future outcomes and make conjectures based on these predictions.

#### Original Student Tutorials

 Name Description Exponential Functions Part 3: Decay Learn about exponential decay as you calculate the value of used cars by examining equations, graphs, and tables in this interactive tutorial. Exponential Functions Part 2: Growth Learn about exponential growth in the context of interest earned as money is put in a savings account by examining equations, graphs, and tables in this interactive tutorial. Exponential Functions Part 1 Learn about exponential functions and how they are different from linear functions by examining real world situations, their graphs and their tables in this interactive tutorial.

#### Tutorial

 Name Description Graphing Exponential Equations This tutorial will help you to learn about exponential functions by graphing various equations representing exponential growth and decay.

#### Original Student Tutorials

 Name Description Exponential Functions Part 3: Decay: Learn about exponential decay as you calculate the value of used cars by examining equations, graphs, and tables in this interactive tutorial. Exponential Functions Part 2: Growth: Learn about exponential growth in the context of interest earned as money is put in a savings account by examining equations, graphs, and tables in this interactive tutorial. Exponential Functions Part 1: Learn about exponential functions and how they are different from linear functions by examining real world situations, their graphs and their tables in this interactive tutorial.

#### Tutorial

 Name Description Graphing Exponential Equations: This tutorial will help you to learn about exponential functions by graphing various equations representing exponential growth and decay.

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