Question

Sketch the graph of the relation function


`h(x) = \frac{ {x}^(2) + 6x + 8}{ {x}^(2) + 8x + 15}`
by listing all the intercepts, asymptotes,and the behaviour of the graph with respect to the asymptotes.​

Answer 1

Explanation:

1) X-intercept: -2; -4;

Y-intercept: 0.533;

2) asymptotes: x= -3 and x= -5;

3) if x→ -5(-0), then y→+∞;

if x→ -5(+0), then y→-∞;

if x→ -3(-0), then y→-∞;

if x→ -3(+0), then y→+∞;