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!

Practice Learn Test

Which of the following is a relation?

f(x) = x^2

(2, 3)

y = mx + b

x + y = 5

1 answered

What is the range of the function f(x) = 2x - 1?

All real numbers

All even numbers

All odd numbers

All integers

1 answered

Which of the following is an example of a function?

y = ±√x

y^2 = x

y = |x|

y = x^2 + 1

1 answered

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

1 answered

What is the domain of the function f(x) = √(x + 5)?

All real numbers

x ≥ -5

x > -5

x < -5

1 answered

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

1 answered

What is the domain of the function f(x) = 1/(x^2 - 4)?

All real numbers

x ≠ ±2

x ≠ 0

x > 0

1 answered

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

1 answered

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.

1 answered

#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

1 answered

#11

What is the period of the function f(x) = sin(x) + cos(x)?

2π

π/2

4π

#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)?

2π

π/2

π/4

Relations and Functions in Algebra Quiz

Which of the following is a relation?

What is the range of the function f(x) = 2x - 1?

Which of the following is an example of a function?

If f(x) = x^2 and g(x) = 2x - 1, what is (f ∘ g)(x)?

What is the domain of the function f(x) = √(x + 5)?

If f(x) = 3x^2 + 5x - 2 and g(x) = 2x - 1, what is (f ∘ g)(x)?

What is the domain of the function f(x) = 1/(x^2 - 4)?

What is the composition of functions f(x) = 2x + 1 and g(x) = x^2?

Which of the following statements about relations is true?

Which of the following is the graph of a one-to-one function?

What is the period of the function f(x) = sin(x) + cos(x)?

What is the range of the function f(x) = e^x?

Which of the following is the graph of a many-to-one function?

What is the period of the function f(x) = tan(x)?

Quiz Questions with Answers

Test Your Knowledge

Popular Quizzes in Mathematics

Other Quizzes to Explore