Domain/Range
What is the domain of a function?
The "x" values of the relation
The set of input values of a function or relation. Can also be known as the independent variable.
What is the "x" values or the Domain.
Is the following an arithmetic sequence?
-7, -5, -3, -1...
YES
Tamara has $15 to spend on movie rentals this week. Each rental costs $3. Would the graph that shows how much money she might spend be continuous or discrete?
Discrete because she is not going to rent a a part of a movie; each data point is independent of the others
Determine a relationship between the x- and y-values. Write an equation
{(1,3), (4, 6), (6, 8), (8, 10)}
y=x+2
What is the "range" of a function?
The 'Y' values of the relation
One set of data values increases as the other set decreases.
What is a Negative correlation?
In the following arithmetic sequence, what is the common difference?
-7, -5, -3, -1...
What is +2?
For the function: f(x) = -4x2 + 8
Name the type of function and the shape its graph makes.
What is a QUADRATIC function and a PARABOLA? (or a "u" shaped"
Determine a relationship between the x- and y-values. Write an equation
{(0,1), (1,3), (2, 5), (3, 7)}
y=2x+1
Give the domain of the relation in proper notation:
X Y
3 3
-8 -21
4 15
7 -14
D: {-8, 3, 4, 7}
A graph made up of unconnected points – isolated points.
What is discrete graph?
In the following arithmetic sequence, what is the common difference?
-4, -12, -20, -28...
what is - 8?
Express the relation as a labeled graph
{(2,-4), (4, -5), (6, -6), (8, -7)}
** See work
Determine a relationship between the x- and y-values. Write an equation
{(-4,-1), (-3, 0), (-2, 1), (-1, 2)}
what is
y=x + 3
Give the range of the relation in proper notation
X Y
3 3
-8 -21
4 15
7 -14
R : {-21, -14, 3, 15}
The set of output values of a function or relation. Can also be known as the dependent variable.
What is the "y" value or the Range?
Find the 72nd term of the following arithmetic sequence:
-8, -11, -14, -17..
What is -221 ?
Graph -2x + y = 4 for the given domain. Then state the type of graph
D: {-4, -2, 0, 1, 3}
**see work for graph
LINEAR Graph
Determine a relationship between the x- and y-values. Write an equation
{(2,-4), (4, -5), (6, -6), (8, -7)}
what is y= -1/2x -3
Express the following relation in a mapping diagram.
X Y
3 3
-8 -21
4 15
7 -14
**See work for correct answer
A type of relation that pairs each element in the domain with exactly one element in the range; the domain cannot repeat.
what is a FUNCTION
The water pump is being monitored daily. On day 1, it had 745 gallons. Day 2 it had 742 gallons, Day 3 it had 739 gallons. If it continues to show this same rate, how many gallons will it have after 35 days?
What is 643 gallons?
Identify the independent and dependent variables. Then write an equation in function notation for the situation.
Taylor charges $25 per hour for babysitting.
Independent: # of hours
Dependent: total amount of $ earned
y=25x
Determine a relationship between the x- and y-values. Write an equation
{(-1,-4), (0, -2), (2, 2), (5, 8)}
what is y = 2x-2