Relations and Functions in Algebra Quiz
Test your knowledge on relations, functions, domains, and ranges in algebra. Explore questions on compositions, inverses, and graph types!
#1
Which of the following is a relation?
f(x) = x^2
(2, 3)
y = mx + b
x + y = 5
#2
What is the range of the function f(x) = 2x - 1?
All real numbers
All even numbers
All odd numbers
All integers
#3
Which of the following is an example of a function?
y = ±√x
y^2 = x
y = |x|
y = x^2 + 1
#4
If f(x) = x^2 and g(x) = 2x - 1, what is (f ∘ g)(x)?
2x^2 - 1
2x^2 - 2x
4x^2 - 4x + 1
4x^2 - 2x - 1
#5
What is the domain of the function f(x) = √(x + 5)?
All real numbers
x ≥ -5
x > -5
x < -5
#6
If f(x) = 3x^2 + 5x - 2 and g(x) = 2x - 1, what is (f ∘ g)(x)?
6x^2 + 7x - 3
6x^2 + 13x - 5
6x^2 + 8x - 5
6x^2 + 3x - 1
#7
What is the domain of the function f(x) = 1/(x^2 - 4)?
All real numbers
x ≠ ±2
x ≠ 0
x > 0
#8
What is the composition of functions f(x) = 2x + 1 and g(x) = x^2?
2x^2 + 1
4x^2 + 4x + 1
2x^2 + 3x + 1
4x^2 + 2x + 1
#9
Which of the following statements about relations is true?
Every function is a relation, but not every relation is a function.
Every relation is a function, but not every function is a relation.
Every relation and every function are equivalent.
Relations and functions have no connection.
#10
Which of the following is the graph of a one-to-one function?
A parabola opening upward
A horizontal line
A vertical line
A straight line passing the vertical line test
#11
What is the period of the function f(x) = sin(x) + cos(x)?
#12
What is the range of the function f(x) = e^x?
All real numbers
x > 0
x < 0
x ≥ 0
#13
Which of the following is the graph of a many-to-one function?
A parabola opening upward
A horizontal line
A vertical line
A straight line passing the horizontal line test
#14
What is the period of the function f(x) = tan(x)?
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