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
Transcript text: The function is $\square$ on the interval $-\infty
Solution
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 \(2 < x < \infty\).