Mathematical Functions Practice Test Instructions: Answer all the questions. For
multiple-choice questions, choose the correct answer. For enumeration, list all the
correct items.
Section 1: Multiple-Choice Questions
1. Which of the following is the correct definition of a function?
a) A relation where every input has exactly one output
b) A relation where inputs can have multiple outputs
c) A relation where outputs can have multiple inputs
d) None of the above
2. What is the domain of the function f(x) = √(x – 2)?
a) x ≥ 2
b) x > 2
c) All real numbers
d) x ≠ 2
3. If f(x) = 3x + 2 and g(x) = x² - 1, what is (f ∘ g)(x)?
a) 3x² + 5
b) 3x² + 2
c) 3(x² - 1) + 2
d) x² + 3x – 1
4. The inverse of the function f(x) = 2x + 5 is:
a) f⁻¹(x) = (x – 5)/2
b) f⁻¹(x) = (x + 5)/2
c) f⁻¹(x) = 2x – 5
multiple-choice questions, choose the correct answer. For enumeration, list all the
correct items.
Section 1: Multiple-Choice Questions
1. Which of the following is the correct definition of a function?
a) A relation where every input has exactly one output
b) A relation where inputs can have multiple outputs
c) A relation where outputs can have multiple inputs
d) None of the above
2. What is the domain of the function f(x) = √(x – 2)?
a) x ≥ 2
b) x > 2
c) All real numbers
d) x ≠ 2
3. If f(x) = 3x + 2 and g(x) = x² - 1, what is (f ∘ g)(x)?
a) 3x² + 5
b) 3x² + 2
c) 3(x² - 1) + 2
d) x² + 3x – 1
4. The inverse of the function f(x) = 2x + 5 is:
a) f⁻¹(x) = (x – 5)/2
b) f⁻¹(x) = (x + 5)/2
c) f⁻¹(x) = 2x – 5
