Is the Domain of a Linear Function Continuous or Discrete? | HS.F.IF.B.5 🖤

In this video lesson we will review how to graph a linear functions using a table of values and slope intercept form. We will learn that the graph of a linear function represents all the solutions of the linear function. A line by defnition is an infinite amount of points. The graph of a linear function represents the set of ordered pairs that are solutions to the function. We will learn about discrete and continuous domains and how to identify the difference. Student practice is embedded in the lesson with modeled exemplar solutions.

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00:00 Introduction
00:38 Representing a Linear Function with a Graph
00:56 Solutions of Linear Functions
01:55 Graph of a Linear Function
03:58 How to Graph a Linear Function
05:42 Student Practice #1
07:35 Discrete vs. Continuous Domains
10:51 Student Practice #2
12:44 Student Practice #3

#algebra
#discretedomain
#continuousdomain
#graphinglinearfunctions

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Common Core Math Standards
HS.A.CED.A.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Represent and solve equations and inequalities graphically.
HS.A.REI.D.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
HS.F.IF.B.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
Analyze functions using different representations.
HS.F.IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
HSF.IF.C.7.A Graph linear and quadratic functions and show intercepts, maxima, and minima.
HS.F.L.E.A.1.B Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.