Question

Where is the x-intercept(s) in the graph of y = (x-1)(x+8)/(x+8)(x-6)?

Answer 1

B: 1

Explanation:

Edge 2021

Answer 2

`((x-1)(x+8))/((x-6)(x+8)) = ((x-1))/((x-6))`

The x-intercepts are where the graph crosses the x-axis, in other words what x is when y = 0. This is only when the numerator is zero. After simplifying and factoring out the (x+8), y = 0 only when x = 1.

* When x = 6 the denominator is zero and the function is undefined. x = 6 would then be a vertical asymptote.