use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c) constant.
use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c) constant.
Answer
Explanation:
Step1: Identify increasing interval
Observe where graph rises. The function (f(x)) is increasing for all real - numbers. In interval notation, it is ((-\infty,\infty)).
Step2: Identify decreasing interval
Check where graph falls. There is no part of the graph where the function is decreasing. So the interval is (\varnothing) (the empty set).
Step3: Identify constant interval
Look for flat parts of graph. There are no flat parts of the graph, so the constant - interval is (\varnothing) (the empty set).
Answer:
(a) ((-\infty,\infty)) (b) (\varnothing) (c) (\varnothing)