ALEX Classroom Resource

  

Exponential Function Graph

  Classroom Resource Information  

Title:

 Exponential Function Graph

URL:

 https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:exponential-growth-decay/x2f8bb11595b61c86:graphs-of-exponential-growth/v/graphing-exponential-functions

Content Source:

 Other
Khan Academy
Type: Audio/Video

Overview:

This set of videos will explain how exponential functions are graphed and will demonstrate identifying a graph that represents a given exponential function. There is a practice question set available after the videos.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 9-12
Algebra I with Probability
26. Use graphs and tables to show that a quantity increasing exponentially eventually exceeds a quantity increasing linearly or quadratically.
Unpacked Content
Evidence Of Student Attainment:
Students:
Given a quantity increasing exponentially and a quantity increasing as a polynomial function (e.g., linearly, quadratically),
  • Construct graphs and tables that demonstrate the exponential function will exceed the polynomial function at some point.
  • Present a convincing argument that this must be true for all polynomial functions.
Teacher Vocabulary:
  • Increasing exponentially
  • Increasing linearly
  • Polynomial functions
Knowledge:
Students know:
  • Techniques to graph and create tables for exponential and polynomial functions.
Skills:
Students are able to:
  • Accurately create graphs and tables for exponential and polynomial functions.
  • Use the graphs and tables to present a convincing argument that the exponential function eventually exceeds the polynomial function.
Understanding:
Students understand that:
  • Exponential functions grow at a faster rate than polynomial functions after some point in their domain.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
ALGI.26.1: Define a polynomial function and parabola.
ALGI.26.4: Compare the y-values by looking at the same x-value in a variety of tables or graphs.
ALGI.26.3: Identify the graph of an exponential function.
ALGI.26.4: Identify the graph of a line.
ALGI.26.5: Plot points on a coordinate plane from a given table of values.
ALGI.26.6: Identify the graph of a quadratic function.

Prior Knowledge Skills:
  • Create a graph to model a real-word situation.
  • Compare and contrast the relationship between two quantities in a graph.
  • Compare and contrast the differences between linear and nonlinear functions.
Alabama Alternate Achievement Standards
AAS Standard:
M.A.AAS.12.24 Given a simple linear function on a graph, select the model that represents an increase by equal amounts over equal intervals.
Tags: Algebra I, exponential functions, graphs
License Type: Custom Permission Type
See Terms: https://www.khanacademy.org/about/tos
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
AccessibilityVideo resources: includes closed captioning or subtitles
Comments
  This resource provided by:  
Author: Hannah Bradley
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