Topics
6. Functions & Relations
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United States of America
Grade 8

Topic Review: Functions and relations

Lesson
Practice

Introduction

We've just finished the chapter on Functions and Relations. Let's do a review to ensure we have mastered each topic.

Functions and Relations

In this chapter we covered the following topics:

  •  Represent relations 
  •  Identify functions 
  •  Domain and range 
  •  Compare linear relationships 
  •  Model linear relationships 
  •  Interpret distance-time graphs 

Outcomes

8.F.A.1

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output

8.F.A.2

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

8.F.A.3

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.

8.F.B.4

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

8.F.B.5

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g. Where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

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