Vocab
Knowledge
Knowledge
Function
Basics
Basics
Domain
and Range
and Range
Evaluating
Functions
Functions
Evaluate Functions Graphically
100
Another name for the set of all x-values in a relation, also referred to as the set of input values of a relation.
Domain or independent variable
100
Is this relation a function?
{ (3,1), (2,1), (8,5), (7,8), (2, -3) }
No, the x-value 2 as two y-values of 1 and -3.
100
Identify the range of the table using proper notation.
{0, 4, 8}
100
Evaluate the function for f(3).
f(x) = 10x+15
f(3)=45
100
Find f(2)
f(2) = 2
200
A relation where each input has exactly one output
A function
200
Is this relation a function?
No, the input 1 has two outputs of 2 and 5.
200
Identify the domain of the data set using proper notation.
{1, 2, 3, 4, 5}
200
Evaluate the function for h(-2)
h(x) = -x + 3
h(-2) = 5
200
Find f(9)
f(9) = 3
300
Another name for the set of all y-values in a relation, also referred to as the set of output values of a relation
Range or dependent variable
300
Is this relation a function?
Yes, every input has exactly one output.
300
Identify the domain of the graph.
{-3, -2, -1, 1, 3}
300
Evaluate the function for g(4).
g(x)=1/2x-3
f(4)=-1
300
Find x, when f(x) = 4
x = 3
400
A method of testing whether or not a graph represents a function by moving a line across the graph, checking for x values that correspond to two y values
Vertical line test
400
Is this relation a function?
No, does not pass the vertical line test.
400
Identify the range of the set of ordered pairs.
{(-3,2), (1, 5), (0,2), (2,-3)}
{-3,2,5}
400
Find x, if k(x) = 10
k(x) = -3x + 4
x = -2
f(-2) = 10
400
Find x if g(x)=30 (There are two answers)
x=5 and x=15
g(5) = 30 and g(15)=30
500
A ________ is a relationship between two sets of values: inputs and the outputs. These can be displayed as a set of ordered pairs, mapping, table and graph.
Relation
500
Is this relation a function?
{(1,2), (0,-5), (1,2), (4,4)}
Yes, every input has exactly one output.
Although there are two x-values that are 1, they have the same out but of 2. This is why you cannot say "repeats" when explaining if a relation is a function or not.
500
Identify reasonable domain and range for the scenario.
A class needs 6 or more students in order to be offered next school year, but no more than 25 students can take the class because of limited supplies. Each student that enrolls in the class is issued two textbooks.
Domain: 6 to 25 students
Range: multiples of 2, between 12 and 50 textbooks
500
If f(x) = 5x
and
g(x) = x + 12
Find f(4) + g(-3)
29
500
Find f(-1)
f(-1) = -4