Function or Relation?
Domain and Range
Mixed/Review
Function Notation
Application
100
Is the relation a function? Why?
No, it is a relation
100
What is the domain and range?
D: 1≤x≤3
R: 2≤y≤4
100
Does the table represent a linear or nonlinear function?
Linear
100
Evaluate the function when x=5
f(x)=-2x+9
f(x)=-1
100
Graph (use backside of whiteboard)
f(x)=5x-6
We will go over answer
200
Is the relation a function? Why?
The relation is a function.
200
What is the domain and range:
D: All real numbers
R: All real numbers
200
The function m = 40 − 8.5b represents the amount m of money (in dollars) that you have after buying b balls of yarn. Is the domain discrete or continuous?
discrete
200
f(x)=12-2x-5
Evaluate f(-4)
f(-4)=15
200
The function 2x+1.5y=18 represents the number of book raffle tickets x and food raffle tickets y you buy at a club event.
Solve the equation for y
y=-4/3x+12
300
Is the relation a function? Why?
The relation is a function.
300
What is the domain and range?
D: {1,2,3,4,5,6}
R: {-1,0,1,2,3,6}
300
The cost for copying a document is a function of the number of pages in the document. In this situation, what is the dependent variable?
The cost
300
h(x)=1/2x-3
Evaluate h(x)=-4x=-2
300
The function C(x)=29x+54.5 represents the cost (in dollars) of cable for x months, including the $54.50 installation fee.
a. How much would you have spent on cable after 6 months?
b. How many months of cable service can you have for $344.50?
a. $228.5
b. 10 months
400
Is the relation a function? Why?
The relation is not a function
400
What is the domain and range?
D: All real numbers
R: y≥-6
400
Solve the inequality
|2x-3|+4>9
x>4 or x<-1
400
f(2)=
f(2)=8
400
The function y=7x+35 represents the monthly cost y (in dollars) of a group of x members joining the fitness club.
Your group has enough money for up to six members to join the fitness club. Find the domain and range of the function.
D: {0,1,2,3,4,5,6}
R: {35,42,49,56,63,70,77}
500
Is the relation a function? Why?
The relation is a function
500
What is the domain and range?
D: all real numbers
R: y≥0
500
The first side of a triangle is 3 m shorter than the second side. The third side is 4 times as long as the first side. The perimeter is 27 m. Find the length of each side.
2m, 5m, and 20m
500
Evaluate is f(x)=6
x=3
500
The function y=-3x+44 represents the amount of money left in your school lunch account y (in dollars) after x days.
a. Identify the independent and dependent variables.
b. There are 10 days left in the school year. Find the domain and range of the functions.
a. I- x
D- y
b. { x = 0,1,2,3,4,5,6,7,8,9,10}
{y = 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44}