WorksheetsUnderstanding Functions and Relations
Total questions: 10
Worksheet time: 5mins
What is the definition of a function?
A function can have multiple outputs for a single input.
A function is a random assignment of outputs to inputs.
A function is a type of equation that does not relate inputs to outputs.
A function is a relation that assigns exactly one output for each input.
Which of the following is a function: {(1,2), (2,3), (1,4)}?
(1,4) is a function
(2,3) is a function
(1,2) is a function
Not a function
Identify whether the relation {(3,4), (5,6), (3,7)} is a function.
No, the relation is not a function.
The relation has unique outputs for each input.
Yes, the relation is a function.
The relation is a one-to-one function.
What is the vertical line test used for?
To determine if a graph represents a function.
To calculate the distance between two points.
To identify the slope of a line.
To find the area under a curve.
If a relation has the pairs (2,3), (2,4), and (3,5), is it a function?
Yes, it is a function.
It has unique outputs for each input.
It is a one-to-one function.
No, it is not a function.
Which of the following represents a function: y = x^2 or y = x + 1?
y = x^3 does not represent a function
Both y = x^2 and y = x + 1 represent functions.
y = sin(x) is not a function
y = 1/x is a function
How can you determine if a set of ordered pairs is a function?
A set of ordered pairs is a function if the second elements are the same.
A set of ordered pairs is a function if all elements are unique.
A set of ordered pairs is a function if no two pairs have the same first element with different second elements.
A set of ordered pairs is a function if the first elements are in ascending order.
What is the range of the function f(x) = 2x + 3?
Only negative numbers
Integers between 1 and 10
Only positive numbers
All real numbers
If f(x) = x + 5, what is f(2)?
10
7
2
5
Explain why the relation {(1,2), (2,3), (3,2), (2,1)} is not a function.
The relation is a function since all inputs map to the same output.
The relation is not a function because it contains only one pair.
The relation is a function because each input has a unique output.
The relation is not a function because the input '2' maps to multiple outputs.
