WorksheetsFunctions and Relations
Total questions: 10
Worksheet time: 5mins
What is the definition of a function in mathematics?
A function is a mathematical operation that combines two numbers to produce a single output
A function is a set of ordered pairs where each input is related to multiple outputs
A function is a relation between a set of inputs and a set of possible outputs where each input is related to multiple outputs
A function in mathematics is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.
Explain the difference between a function and a relation.
A function can have multiple outputs for the same input
A relation is more complex than a function
A relation is always a function
A function is a specific type of relation.
Given the function f(x) = 2x + 3, find f(4).
5
14
11
7
Determine if the following relation is a function: {(1, 2), (3, 4), (1, 5)}
No, the relation is not a function.
No, the relation is a partial function.
Yes, the relation is a partial function.
Yes, the relation is a function.
If g(x) = x^2 - 1, find g(3).
10
8
4
6
What is the domain of the function h(x) = √(x + 2)?
x > -2
x >= -2
x <= -2
x = -2
Explain what it means for a function to be one-to-one.
A function is one-to-one if each element in the domain maps to multiple elements in the codomain.
A function is one-to-one if each element in the domain maps to the same element in the codomain.
A function is one-to-one if each element in the domain maps to no elements in the codomain.
A function is one-to-one if each element in the domain maps to a unique element in the codomain.
Given the relation R = {(1, 2), (2, 3), (3, 4)}, find R^-1.
{(1, 1), (2, 2), (3, 3)}
{(2, 1), (3, 1), (4, 1)}
{(2, 1), (3, 2), (4, 3)}
{(1, 3), (2, 4), (3, 5)}
If f(g(x)) = x, what can you conclude about the functions f and g?
f and g are exponential functions
f and g are not related
f and g are inverse functions of each other.
f and g are linear functions
Define the term 'onto function' in the context of functions and relations.
An onto function is a function where each element in the codomain is mapped to by at least one element in the domain.
An onto function is a function where each element in the codomain is not mapped to by any element in the domain.
An onto function is a function where each element in the domain is mapped to by at least one element in the codomain.
An onto function is a function where each element in the codomain is mapped to by at least two elements in the domain.
