Given
[tex]f(x)=\frac{x^2-5x-14}{q(x)}[/tex]
We want to find a possible graph of f(x)
Solution
First, notice the numerator of the function f(x)
It can be factorised
[tex]\begin{gathered} f(x)=\frac{x^2-5x-14}{q(x)} \\ f(x)=\frac{(x-7)(^{}x+2)}{q(x)} \end{gathered}[/tex]
This mean that x = 7 and x = -2 are the roots of f(x)
This implies that the graph of f(x) must cross the x-axis at x = 7 and x = -2
By going through the option the correct option is B
Thus, from the graph above, It shows that only option B graph pass through x = 7 and x = -2
The right option is B
