current objective\nuse a graph to determine intervals of increase and decrease\n\nquestion\ndetermine the…
current objective\nuse a graph to determine intervals of increase and decrease\n\nquestion\ndetermine the interval(s) for which the function shown below is increasing.\n\nwrite your response in interval notation using the symbol u when necessary.\n\nprovide your answer below:
Answer
Explanation:
Step1: Recall the definition of an increasing function
A function (y = f(x)) is increasing on an interval if, for any two points (x_1) and (x_2) in the interval with (x_1<x_2), we have (f(x_1)<f(x_2)). Graphically, this means the function rises as we move from left - to - right.
Step2: Analyze the graph
Looking at the left - hand part of the graph:
- For the left - hand curve (the lower part of the graph), we can see that it is increasing from (x=-7) to (x = - 5).
- For the right - hand part of the graph (the upper part of the graph), it is increasing from (x = 0) to (x=1).
Answer:
((-7,-5)\cup(0,1))