WorksheetsUnderstanding Relations in Mathematics
Total questions: 10
Worksheet time: 5mins
What is a function? Provide an example.
f(x) = sin(x)
f(x) = 2x + 3
f(x) = x^2
f(x) = e^x
Identify whether the relation {(1,2), (2,3), (3,4), (1,5)} is a function.
No, it is not a function.
It is a one-to-one relation.
It has multiple outputs for one input.
Yes, it is a function.
Analyze the graph of the relation: y = x^2. Is it a function?
Yes, y = x^2 is a function.
No, y = x^2 is a relation, not a function.
No, y = x^2 is not a function.
Yes, y = x^2 fails the vertical line test.
Determine the domain of the function f(x) = 1/(x-3).
All integers except 3
All real numbers including 3
All real numbers except 3
All positive numbers except 3
What is the codomain of the function g(x) = x + 2?
Only even numbers
All real numbers
Only positive integers
All integers
Given the relation {(2,4), (3,6), (4,8)}, is it a function? Why or why not?
It could be a function depending on context.
Yes, but only partially a function.
Yes, it is a function.
No, it is not a function.
If the graph of a relation passes the vertical line test, what can you conclude?
The relation is a function.
The relation is a curve.
The relation is a set.
The relation is a line.
Find the domain of the function h(x) = √(x-1).
[1, ∞)
(-∞, 1)
[0, 1)
(1, 2)
What is the range of the function f(x) = -x^2?
[0, ∞)
(-1, 1)
(-∞, -1]
(-∞, 0]
Explain how to determine the domain and codomain of a given function.
The domain is the set of all valid input values, and the codomain is the set of all possible output values.
The domain includes all possible outputs, while the codomain is limited to specific inputs.
The domain is the range of output values, and the codomain is the set of input values.
The domain is the set of all outputs, and the codomain is the set of all inputs.
