Answer the question about the given function.
-$$\text { Given the function } f ( x ) = \frac { x ^ { 2 } - 7 } { x - 1 } \text {, is the point } ( 2 , - 3 ) \text { on the graph of } f \text { ? }$$
A) Yes
B) No

Question

Quizplus · Accepted Answer

To determine if the point (2, -3) is on the graph of $f(x) = \frac{x^2 - 7}{x - 1}$, substitute $x = 2$ into the function and see if the output is -3. Substituting 2 gives $\frac{2^2 - 7}{2 - 1} = \frac{4 - 7}{1} = \frac{-3}{1} = -3$, which matches the y-coordinate of the given point. Therefore, the point (2, -3) is on the graph of $f$.