Question

Find the intervals on the x_axis where the funcrion f(x)=(2x+3)/(x^2-4) is increasing and where it is decreasing. Use interval notation for your answers.

Answer 1

there are 2 vertical asymptotes at x = -2 and x = 2 as the denominator is zero at these values
at values less than -2 the function is decreasing
- checking more..

Answer 2

the graph is shown here
http://www.wolframalpha.com/input/?i=%282x+%2B+3%29+%2F+%28x%5E2+-+4%29