Sketch the graph of $y=\frac{4-x}{2+3x-2{{x}^{2}}}$. Give the equations of the asymptotes and the

Question

Sketch the graph of $y=\frac{4-x}{2+3x-2{{x}^{2}}}$. Give the equations of the asymptotes and the coordinates of the point where the curve intersects the $x$-axis.[4] Solve the inequality $\frac{4-x}{2+3x-2{{x}^{2}}}>0$.[1] Hence solve the inequality $\frac{4-\left| x \right|}{2+3\left| x \right|-2{{x}^{2}}}>0$.[2]

Accepted Answer

(a) Asymptotes are $y=0$, $x=2$, $x=-\frac{1}{2}$ (b) $-0.5 4$ (c) $-2 4$

2024 ASRJC Promo Q4

2024 ASRJC Promo Q4

Video Solution:

Solution:

Solution locked