Questions: The function is square on the interval -∞<x<2. There is a square at -32. There is a square at -4 and at 2. The function is square on the interval 2<x<∞. : positive negative zero y-intercept

The function is square on the interval -∞<x<2. There is a square at -32.

There is a square at -4 and at 2. The function is square on the interval 2<x<∞.
: positive
negative
zero
y-intercept
Transcript text: The function is $\square$ on the interval $-\infty
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Solution

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Solution Steps

Step 1: Determine the behavior of the function on the interval \(-\infty < x < 2\)

The function is decreasing on the interval \(-\infty < x < 2\).

Step 2: Identify the value at \(x = -32\)

There is a minimum at \(x = -32\).

Step 3: Identify the zeros of the function

There is a zero at \(x = -4\) and \(x = 2\).

Step 4: Determine the behavior of the function on the interval \(2 < x < \infty\)

The function is increasing on the interval \(2 < x < \infty\).

Final Answer

The function is negative on the interval \(-\infty < x < 2\). There is a minimum at \(-32\). There is a zero at \(-4\) and at \(2\). The function is positive on the interval \(2 < x < \infty\).

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