Functions, Domain and Range

46 MCQs This test covers functions, domain, co-domain and range, one-to-one, onto and bijective functions, the vertical line test and piecewise functions. It also covers evaluating functions, difference quotients, modelling, domain and range of given functions, and the numericals from Exercise 2.1.

MCQs

46 questions · 40 min · 46 marks

Want to try first? Take the free Mathematics test: Complex Number Operations

Sample questions

The first 5 of 46. Try each one, then tap to see the answer.

  1. Question 1

    The term function was recognized by the German mathematician:

    • ACauchy
    • BNewton
    • CLeibniz
    • DEuler
    Show answer

    Answer: C

    The notes credit the German mathematician Leibniz.

  2. Question 2

    In f: X -> Y the set X is called the:

    • ARange
    • BDomain
    • CCo-domain
    • DImage
    Show answer

    Answer: B

    X is the domain of f.

  3. Question 3

    In f: X -> Y the set Y is called the:

    • ACo-domain
    • BDomain
    • CRange
    • DPre-image
    Show answer

    Answer: A

    Y is the co-domain.

  4. Question 4

    The range of a function is always a ____ of its co-domain.

    • ASuperset
    • BComplement
    • CProper subset only
    • DSubset
    Show answer

    Answer: D

    The range is a subset of the co-domain and may equal it.

  5. Question 5

    In y = f(x) the variable x is called the:

    • ADependent variable
    • BIndependent variable
    • CConstant
    • DRange
    Show answer

    Answer: B

    x is the independent variable and y the dependent variable.

More tests in Functions and Graphs

Practise with a free account

Save your scores, see which chapters need work, and keep a notebook of every question you got wrong.

Create free account