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Mathematics Grade 11 Unit 1: RELATIONS AND FUNCTIONS
national exam questions have come from this unit. It runs 103 pages; one careful study pass takes about 9.0 hours, and its difficulty is moderate among Mathematics units. Each section below lists the questions set from it, with the year, and opens the page that teaches it.
1.1 Relations · read p. 3
- 2017 E.C., Q18 – Which of the following statement is true about a relation?
- 2016 E.C., Q7 – The shaded region in the following figure is the graph of a relation R. Which one of the following is the domain and range of R respectively?
1.2 Inverse of Relations and Their Graphs · read p. 12
- 2015 E.C., Q31 – Which of the following functions is one to one?
1.3 Types of Functions · read p. 22
- 2018 E.C., Q3 – Consider the greatest integer function defined by $f(x)=[x-1]$. Which of the following sets is the domain of $f$?
- 2017 E.C., Q1 – Which one of the following function is NOT a power function?
- 2017 E.C., Q56 – Given the function $f(x) = 2\operatorname{sgn} x + 1$. Then what are the domain and the range of $f(x)$ respectively?
- 2016 E.C., Q40 – Which one of the following is the range of the function $f(x) = \frac{2x - 1}{x + 3}$?
- 2016 E.C., Q29 – Which one of the following is true about the function f(x) = tan x?
- 2015 E.C., Q16 – The domain of the function $f(x) = 2x^{\frac{2}{3}}$ is
- 2013 E.C., Q7 – What are the domain and range of the function $f(x) = 2x^{\frac{3}{4}}$ respectively?
1.4 Composition of Functions · read p. 64
Not asked in a national paper yet.
1.5 Inverse Functions and their Graphs · read p. 68
- 2016 E.C., Q26 – Consider the following graph of a given exponential function f(x). Which one of the following functions represents the graph shown above?
- 2014 E.C., Q22 – Let . Which one of the following is the inverse of f? x−3 2x−1 f (x) = −1 x−3 −2x+1 f (x) = −1
1.6 Applications of Relations and Functions · read p. 76
Not asked in a national paper yet.