Question

Which is the graph of
PLEASE ANSWER FAST

Answer 1

The given expression is:


`f(x)= (x-1)/( x^(2) -x-6) \\ \\ f(x)= (x-1)/( x^(2) -3x+2x-6) \\ \\ f(x)= (x-1)/(x(x-3)+2(x-3)) \\ \\ f(x)= (x-1)/((x-2)(x+3))`

The above expression shows that the vertical asymptote of f(x) are x = 2 and x = -3. This means, at x = 2 and x = -3 f(x) approached infinity.

The zero of f(x) is x = 1. This means f(x) crosses x-axis at x = 1. Replacing x by , we get f(0) = 1/6 .

If we observe the graphs, only the first graph satisfies all these conditions. Therefore, first graph is the graph of f(x).