Definition
Which term describes the set of all x values in the relation or function?
A. Domain
B. Function
C. Range
D. Relation
A. Domain
Which relation describes a situation where each input corresponds to exactly one unique output?
A. One-to-many
B. Many-to-one
C. One-to-one
D. Many-to-many
C. One-to-One
In the definition of a function, how many outputs is each individual input allowed to have?
A. Many
B. None
C. Exactly one
D. Two
C. Exactly One
If f(x)=2x+3 and g(x) = x-5, Find f+g(x).
3x-2
X= (-2)
y = 4x + 3
{(-2, -5)}
What refers to all possible output values?
A. Domain
B. Function
C. Range
D. Relation
C. Range
Which relation occurs when a single input is associated with two or more distinct outputs?
A. One-to-many
B. Many-to-one
C. One-to-one
D. Many-to-many
A. One-to-many
Which type of relation always satisfies the condition that every input is paired with exactly one unique output?
A. One-to-one
B. One-to-many
C. Many-to-many
D. None
A. One-to-One
Given f(x)=x² and g(x)=2x, find f-g(x).
x²-2x
x= {10}
y= x2 + 1
{(10,101)}
A relation that includes all possible pairings is?
A. Empty relation
B. Many-to-one
C. One-to-many
D. Universal Relation
D. Universal Relation
Which relation involves multiple inputs corresponding to multiple outputs?
A. One-to-many
B. Many-to-one
C. One-to-one
D. Many-to-many
D. Many-to-Many
Which of the following notations is commonly used to represent a function and show the relationship between input and output?
A. x + y
B. f(x)
C. x:y
D. x = y
B. f(x)
If f(x)=x² and g(x)= x+1, find f/g(x).
x²/(x+1)
x = 3
y = 2x2 - 8x
{(3,-6)}
A relation with no pairs is called what?
A. Empty Relation
B. Function
C. One-to-one
D. Universal Relation
A. Empty Relation
Which relation represents multiple inputs mapping to a single common output?
A. One-to-many
B. Many-to-one
C. One-to-one
D. Many-to-many
B. Many-to-One
Which type of relation can still be considered a function even though different inputs may share the same output?
A. Many-to-many
B. One-to-many
C. Many-to-one
D. Empty relation
C. Many-to-One
If f(x)=x+1 and g(x)=x-2, find f•g(x).
x²-x-2
X= {2,1)
y= 3x + 4
{(2,10),(1, 7)}
What is a relation called when every input corresponds to only one output?
A. Relation
B. Domain
C. Function
D. Range
C. Function
Which type of relation violates the definition of a function?
A. One-to-one
B. Many-to-one
C. One-to-many
D. All of the above
C. One-to-Many
Given that f(2), which value represents the input (independent variable) of the function?
A. 5
B. 2
C. f
D. x
B. 2
A school canteen charges a fixed service fee plus a cost per meal. The total cost of buying x meals is represented by the function f(x)=x+20. Another canteen offers a different pricing scheme represented by g(x)=2x. What is the expression that represents the difference in total cost between the two canteens, f-g(x)?
-x+20
x = {-1,0, 1}
y = x2 - 4
{(-1,-3),(0,-4),(1,-3)}