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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 :

Answer:

See below

Step-by-step explanation:

X-intercept

[tex]y=\frac{x}{x^2-4}\\\\0=\frac{x}{x^2-4}\\\\0=x\\\\x=0[/tex]

Y-intercept

[tex]y=\frac{x}{x^2-4}\\ \\y=\frac{0}{0^2-4}\\ \\y=\frac{0}{-4}\\ \\y=0[/tex]

Therefore, the x and y-intercepts are the same

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