Chapter 1 Test Review

Chapter 1 Test Review

1. Visualizing Relationships in Data

   • Relation: A set of ordered pairs.
     • Example: (7,4) , (5,9)
   • Funtction: Can be a relation where each input has only ONE output
     • Example:

2. Definition a Function

   • Write an equation of h as a function of t: h=5t+1
   • What is the Independent Variable of the equation m= -2(t+3): t What is the Dependent Variable of the equation m= -2(t+3): m

3. Funtction Notation

   • If a function is given by the equation C=f(a), then the independent (input) variable is a and the dependent (output) vaiable is C and f(a) is the name/value of the function at a
   • Let: y=2x+5, write in function notation: f(x)= 2x=5
   • A cab costs $2.45 plus $1.20 per mile
     • Find the Function, C(m), to represent the situation: C(m)=2.49+1.20m
   • The Domain is the set of all inputs for the function (x-values)
   • The Range is the set of all outputs resulting for the values of the domain (y-vaules)

4. Working with Functions: Graphs

   • If f(3)=8 is a point on tis graph, what is the corresponding coordinate pair? (3,8)
   • If (0,-1) is a point on this graph, what is the corresponding function notation? f(0)=-1
   • Each point on a graph can be defined by (input, output). In terms of a function we can write (x,f(x)). If our function is f(x)=-(x-3)^2+8, then each point on the graph is: (x,-(x-3)^2+8)

5. Functions: Getting information from the Graph

   • The domain and range of a function f are represented in the graph of the function.
     • The Figure to the left has the: Domain: [-3,1] Range: [-4,0]
       • If the lines had arrows at the ends the domain and range would be negative infinity to positive infinity

Images and files in the map