Question

On which intervals is the function f decreasing? Choose all that apply!(1 point)
Responses

(5,∞)
open paren 5 comma infinity close paren

(0, 5)
(0, 5)

(−∞,4)
open paren negative infinity comma 4 close paren

(-5, 0)
(-5, 0)

(4, -5)
(4, -5)

Answer 1

To determine the intervals where the function \( f \) is decreasing, we need information about its derivative \( f' \). Generally, a function is decreasing on intervals where its derivative is negative.

However, since the specific function and its derivative are not provided, I cannot directly assess the correct intervals. If you have a graph or a table of values for the function or its derivative, you could look for where the slope (derivative) is negative.

Here’s how you can do this:

1. **Find the derivative \( f'(x) \)**.
2. **Determine where \( f'(x) < 0 \)**.
3. **Identify the corresponding intervals.**

If you provide the necessary information about the function or its derivative, I can help you determine the intervals where the function is decreasing. Otherwise, based on common intervals, the potential options would be:

- (5, ∞)
- (0, 5)
- (−∞, 4)
- (-5, 0)
- (4, -5)

Please clarify or provide additional details.