BECE Mathematics 2018 Paper

Try each of the rules by substituting the values of $x$ to see if you could get the corresponding $y$ values.The rule which gives all the corresponding values of $y$ is the correct rule. Rule: $y \longrightarrow \frac{x}{2} - 2$When $x=0$$\frac{0}{2} - 2 = 0 - 2 = -2$When $x=3$$\frac{3}{2} - 2 = 1.5 - 2 = -0.5$Not the rule. Rule: $y \longrightarrow x - 2$When $x=0$$0 - 2 = -2$When $x=3$$3 - 2 = 1$Not the rule. Rule: $y \longrightarrow x^2 - 2$When $x=0$$0^2 - 2 = -2$When $x=3$$3^2 - 2 = 9 - 2 = 7$Not the rule.Since all the three options are not, automatically the fourth is the rule but you can still verify. Rule: $y \longrightarrow 2x - 2$When $x=0$$2(0) - 2 = 0 - 2 = -2$When $x=3$$2(3) - 2 = 6 - 2 = 4$When $x=6$$2(6) - 2 = 12 - 2 = 10$When $x=9$$2(9) - 2 = 18 - 2 = 16$When $x=12$$2(12) - 2 = 24 - 2 = 22$$y \longrightarrow 2x - 2$ is the rule.