Complete the table of values for $y=2+\dfrac5x$. $x$$-3$$-2$$-1$$1$$1.5$$2$\(3\

Question

Complete the table of values for $y=2+\dfrac5x$. $x$$-3$$-2$$-1$$1$$1.5$$2$$3$ $y$$0.3$$-0.5$$-3$$7$$4.5$$3.7$ Complete the table.[1] Draw the graph of $y=2+\dfrac5x$ for $-3\leq x\leq3$.[3] The equation $2+\dfrac5x=t$ has no solution for $-3\leq x\leq3$. Given $a<t<b$, use your graph to find possible values of $a$ and $b$.[2] By drawing a tangent, find the gradient at $x=2$.[2] The intersections of $4y=5-x$ and the curve give the solutions of $Ax^2-Bx+20=0$. Find $A$ and $B$.[2]

Accepted Answer

(a) $5.3$ (b) graph (c) $a=0.3,\ b=3.7$ (d) approximately $-1.25$ (e) $A=1,\ B=-3$

2025 NASS PRELIMS P2 Q2

2025 NASS PRELIMS P2 Q2

Solution:

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