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r(x) = (x + 1)(x − 3)(x + 3)(x − 5).The function r has x-intercepts

Question

r(x) = (x + 1)(x − 3)(x + 3)(x − 5).The function r has x-intercepts

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Solution

The x-intercepts of the function r(x) = (x + 1)(x − 3)(x + 3)(x − 5) are the solutions to the equation r(x) = 0.

Step 1: Set the function equal to zero.

0 = (x + 1)(x − 3)(x + 3)(x − 5)

Step 2: Set each factor equal to zero.

x + 1 = 0, x - 3 = 0, x + 3 = 0, x - 5 = 0

Step 3: Solve each equation for x.

x = -1, x = 3, x = -3, x = 5

So, the x-intercepts of the function are -1, 3, -3, and 5.

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