Question

Use algebraic methods to prove that the given function has an x-intercept that is equal to its y-intercept. In your final answer, include all of your calculations.

y = x/x^2 - 4

Answer 1

See below

Explanation:

X-intercept

`y=(x)/(x^2-4)\\\\0=(x)/(x^2-4)\\\\0=x\\\\x=0`

Y-intercept

`y=(x)/(x^2-4)\\ \\y=(0)/(0^2-4)\\ \\y=(0)/(-4)\\ \\y=0`

Therefore, the x and y-intercepts are the same