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)

1 answer

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.