Domain and Range
Function notation
Function or no?
Definitions
Anything
100
What is the domain?
(-3,1]
100
What is y=2x+5 in function notation?
f(x)=2x+5
100
B
100
What is a relation?
Associates the elements of one set to the elements of another set
100
Solve the Inequality:
2x - 3 > 9
x > 6
200
What is the definition of Range?
The set of the second elements in a certain number of specified ordered pairs of a relation
200
h(x)=-4x+6
What is h(2)?
h(2)=-2
200
D
200
What is an ordered pair
An ordered pair is a set of inputs and outputs that represents a relationship between the two values
200
Translate into a mathematical expression:
5 less than a number is 10
x - 5 = 10
300
What is the definition of Domain?
The set of the first elements in a certain number of specified ordered pairs of a relation
300
h(d)=-2d+6
h(d)=14, d=?
h(-4)=14
300
Which of the following arrow diagrams represents a function?
A, C, D
300
What is a function?
Each element in the domain is associated with exactly one element in the range.
300
Uber has a flat rate fee of $5 every time you request a ride. Additionally, Uber charges $1.50 for every mile, M, driven. Write an equation to represent the total cost, C, of an Uber ride.
C = 1.50m + 5
400
What is the Domain and Range?
Domain: [-2,inf)
Range: [-1, inf)
400
For the graph f(x), what is f(-2)?
f(-2)=-2
400
Which of the following are functions?
A, C, E
400
Are all relations functions?
No, not all relations are functions
400
What is the bottom left section of the graph?
Quadrant 3
500
What is the domain and range?
Domain: {x|x>-4, xER}
Range: {y|y≥ 1, yER}
500
What is another name for f(0)? (Think about where the point would touch on a graph)
y-intercept
500
Which of the following are NOT functions?
C, E, F, H
500
What are the ways we can represent relations?
a descriptive statement, a table, ordered pairs, a graph, an arrow diagram, an equation
500
Simplify:
(3x2-2x+5)(x+1)
3x3+x2+3x+5