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Mathematics Grade 10 Unit 1: Relations and Functions

national exam questions have come from this unit. It runs 65 pages; one careful study pass takes about 5.1 hours, and its difficulty is easier among Mathematics units. Each section below lists the questions set from it, with the year, and opens the page that teaches it.

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1.1 Relations · read p. 2
  • 2014 E.C., Q23 – The graph of a certain relation R is represented by the shaded region shown on the figure below. Which one of the following pairs of sets respectively gives the domain and range of this relation?
1.2 Functions · read p. 17
  • 2018 E.C., Q9 – What are the domain and range of the function $f(x)=x+|x|$ respectively?
  • 2018 E.C., Q8 – Given the functions and , for and . Which of the following statements is true about the graph of and ?
  • 2018 E.C., Q4 – Which one of the following relations is a function?
  • 2017 E.C., Q15 – Consider the functions $f(x)=5^x$ and $g(x)=\log_5 x$. Which of the following is correct about the relations of domains and ranges of $f$ and $g$?
  • 2016 E.C., Q17 – Which one of the following pairs of functions is an inverse of each other in their respective domains?
  • 2015 E.C., Q23 – Which of the following functions is one to one?
  • 2015 E.C., Q4 – Which of the following statement is true about ?
  • 2015 E.C., Q27 – The equation of the parabola with vertex $V(2, -1)$ and focus $F(-1, -1)$ is
  • 2014 E.C., Q8 – Which one of the following is true?
  • 2014 E.C., Q2 – Consider the polynomial function f(x) = ax 4 - b, where a and b are real numbers. Which one of the following is true about f?
1.3 Applications of Relations and Functions · read p. 50
  • 2017 E.C., Q27 – What is the minimum value of the function defined by $f(x)=-3+4x+x^2$?
  • 2016 E.C., Q28 – Which one of the following is an equation of the parabola with vertex $V(0, 0)$ and focus $F(2, 0)$?
  • 2015 E.C., Q33 – If a rectangular region of length and width has an area of , what are the values of and such that its perimeter is minimum?
  • 2013 E.C., Q49 – Which one of the following is the standard form of the equation of the parabola with vertex $(4, 6)$ and focus $(-8, 6)$?