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Mathematics Grade 11 Unit 2: RATIONAL EXPRESSIONS AND RATIONAL FUNCTIONS
national exam questions have come from this unit. It runs 26 pages; one careful study pass takes about 2.8 hours, and its difficulty is harder among Mathematics units. Each section below lists the questions set from it, with the year, and opens the page that teaches it.
2.1 Rational Expressions · read p. 106
- 2017 E.C., Q54 – What is the solution set of the inequality $1 - \frac{3}{x} \le \frac{4}{x^2}$?
2.3 Rational Functions and Their Graphs · read p. 109
- 2018 E.C., Q6 – Consider the graph of a rational function f(x) as shown below. Which one of the following statements is true about the graph of the function?
- 2018 E.C., Q41 – Consider the rational function f(x)= -4/x-2. The domain of f is the set of all real numbers EXCEPT:
- 2018 E.C., Q22 – Which one of the following sets is the domain of the rational function $f(x)=\dfrac{x^3+x^2}{x^4+2x^2-3}$?
- 2018 E.C., Q3 – Which one of the following pairs of lines are perpendicular to each other?
- 2017 E.C., Q29 – Let $R_1(x) = \frac{x^3 - 9x}{x^2 - 2}, x \neq \pm \sqrt{2}$, and $R_2(x) = \frac{x^2 + 3x}{x - \sqrt{2}}, x \neq \sqrt{2}$ be rational functions. Then what is the simplified form of $\frac{R_1(x)}{R_2(x)}$?
- 2013 E.C., Q50 – Which of the following is true about the hyperbola given by $\frac{x^2}{4} - y^2 = 1$?
- 2013 E.C., Q47 – The graph of rational function is give as below Which of the following is NOT true about the graph?
2.4 Applications · read p. 124
- 2016 E.C., Q51 – If 180 individuals can complete a job in 15 days by working 10 hours a day, how many individuals are needed to complete the job in 10 days if they work 12 hours a day?