Problem

Find the intercepts of the graph of the equation $y=\frac{x^{2}-4}{x^{2}-9}$

Answer

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Answer

Final Answer: The x-intercepts are \(\boxed{-2, 2}\) and the y-intercept is \(\boxed{\frac{4}{9}}\).

Steps

Step 1 ：The intercepts of a graph are the points where the graph crosses the x-axis and y-axis.

Step 2 ：For the x-intercepts, we set y = 0 and solve for x.

Step 3 ：For the y-intercepts, we set x = 0 and solve for y.

Step 4 ：The x-intercepts are \(-2, 2\).

Step 5 ：The y-intercept is \(\frac{4}{9}\).

Step 6 ：Final Answer: The x-intercepts are \(\boxed{-2, 2}\) and the y-intercept is \(\boxed{\frac{4}{9}}\).

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