Domain
& Range
& Range
What is the domain?
{(2,4), (3,6), (4,8), (5,10), (6,12)}
{2,3,4,5,6}
What is the function represented by table #1
f(x)=2x+3
What is the value of f(-3) for the function f(x)=4x-9?
f(-3)=-21
What is the transformation represented below from f to g?
f(x)=2x+3
g(x)=2x+7
up 4 units
Does this represent a relation or function?
{(3,6), (5,7), (7,7), (8,9), (11,14)}
This represents a function.
What is the range?
{(2,4), (3,6), (4,8), (5,10), (6,12)}
{4,6,8,10,12}
What is the function represented in table #2?
g(x)=23x
What is the value of g(5) for the function g(x)=-2x-11
g(5)=-21
What is the transformation represented below from f to g?
f(x)=3x-4
g(x)=3(x+6)-4
Left 6 units
Does this represent a relation or function?
{(-3,9), (-1,5), (2,4), (-3,6), (5,-5), (7,7)}
this represents a relation but not a function.
Identify the domain.
{(-4,7), (-3,5), (1,4), (3,-8), (5,-11)}
{-4, -3, 1, 3, 5}
For a basic subscription, a cable television provider charges an activation fee of $60, plus $125 per month. What linear function represents the total cost of a basic cable subscription for x months?
c(x)=125x+60
A function g(x)=4x+5, has a domain of 0<x<50. What is its range?
*values included*
range: 5<g(x)<205
*values included*
What is the transformation represented below from f to g?
f(x)=7x-5
g(x)=7(x-3)-5
Right 3 units
Does table #3 represent a relation or function?
The table is a relation not a function.
What is the domain and range?
{(-4,8), (-2,4), (0,1), (2,4), (4,8)}
domain: {-4, -2, 0, 2, 4}
range: {1, 4, 8}
Carson set up his own babysitting business and plans to have an initial fee of $10 with an additional $5 added for every hour of babysitting. What is the function that represents this information?
f(x)=5x+10
The function f(x)=5x+10 models the amount of money Carson makes when babysitting for x hours. How much money will he make for 3 hours of babysitting work?
f(x)=25
$25
What is the transformation shown from f to g on graph #2?
up 3 units
Does mapping #1 represent a relation or function?
It represents a relation but not a function.
What is the domain and range of graph #1?
range: {all real numbers}
Liam and Matthew are driving to a city that is 120 mi from home. They have already traveled 15 mi, and are driving at a constant rate of 70 mi/h. Write a function that models their distance from home as a function of time.
h(x)=70x+15
Let's say Liam and Matthew have driven 1.5 hours so far and are curious how far from home they are. Use the function h(x)=70x+15 to determine how far away from home they are.
h(1.5)=120
120 miles
What is the transformation from f to g in graph #3?
left 4 units
Does graph#4 represent a relation or function?