Find the domain, range, x and y intercepts, and horizontal and vertical asymptotes of
f(x) = 2/x^2-2x-3

Question

Find the domain, range, x and y intercepts, and horizontal and vertical asymptotes of 
f(x) = 2/x^2-2x-3

anonymous · Answer

$$f(x)=\frac{2}{x^2-2x-3}$$The restrictions on the domain will be any values of x where the denominator is zero.  In other words, you have to solve:$$x^2-2x-3=0$$Can you do this?

anonymous · Answer

Yes, the answer would be x=3 or x=1

anonymous · Answer

close.  x=3 or x=-1

anonymous · Answer

so when x is 3 or -1, the denominator is zero.  We cannot divide by zero, so these values of x are not allowed.  x can be any other real number other than these two.  We write:$$D={x: x \in \mathbb{R}, x \neq3,x \neq -1}$$

anonymous · Answer

Do you know any calculus?

anonymous · Answer

Ok, a vertical asymptote looks like this:|dw:1345683167924:dw|