use the graph to determine (a) intervals on which the function is increasing, if any. (b) intervals on which…
use the graph to determine (a) intervals on which the function is increasing, if any. (b) intervals on which the function is decreasing, if any. (a) select the correct choice below and fill in any answer boxes within your choice. a. the function is increasing on the interval(s) (type your answer in interval notation.) b. the function is never increasing.
Answer
Answer:
(a) A. The function is increasing on the interval(s) $(2,\infty)$ (b) B. The function is never decreasing.
Explanation:
Step1: Understand increasing function
A function is increasing when as $x$ increases, $y$ also increases.
Step2: Analyze the graph
Looking at the graph, for $x > 2$, as $x$ moves to the right (increases), $y$ moves up (increases). So the increasing - interval is $(2,\infty)$.
Step3: Understand decreasing function
A function is decreasing when as $x$ increases, $y$ decreases.
Step4: Analyze for decreasing part
In the given graph, there is no part where as $x$ increases, $y$ decreases. So the function is never decreasing.