Question

decreasing.
if necessary, fill in the answer box to
complete your choice.
a. the function is increasing
on the interval(s)
(-∞,4),(6,∞)
(type your answer in
interval notation. simplify
your answer. use integers
or fractions for any numbers
in the expression. use a
comma to separate answers
as needed.)
b. the function is never
increasing.
b) list the open interval(s) on which
the function is decreasing. select the
correct choice below and,
if necessary, fill in the answer box to
complete your choice.
a. the function is decreasing
on the interval(s)
(type your answer in
interval notation. simplify
your answer. use integers
or fractions for any numbers
in the expression. use a
comma to separate answers
as needed.)
b. the function is never
decreasing.

Explanation:

Step1: Analyze the graph's decreasing intervals

To determine where the function is decreasing, we look at the graph's slope. A function is decreasing when, as \( x \) increases, \( y \) decreases. From the graph, between \( x = 4 \) and \( x = 6 \), the function's \( y \)-values decrease as \( x \) increases.

Step2: Write the interval

The open interval where the function is decreasing is \( (4, 6) \) because we use open intervals for these types of function behavior (not including the endpoints where the slope changes direction).

Answer:

A. The function is decreasing on the interval(s) \((4, 6)\)