I am having some trouble figuring out to find where a graph decreses and increases.
These are the directions:
Identify the intervals where the functionis changing as requested.
5. On this graph it wants to find where it is increasing. How would I find out where the graph increases?
These are the answer choices I have: a. (-3, inifity), b. (-3,3), c.(-2,2), d. (-2,inifity)
6. On this graph its wants to find where it is decreasing. How would I find out where the graph decreses?
These are the answer choices I have: a. (0,2),b.(- inifinity, 3), c.(0,3), d. ( - inifinity, -2)
To determine where a graph increases or decreases, you need to look for the points on the graph where the slope is positive (increasing) or negative (decreasing). Here's how you can find the answers for the given questions:
5. To identify where the graph is increasing, you need to find the intervals on the x-axis where the slope is positive. You can do this by looking for the parts of the graph where it is moving upwards. One way to visually identify this is by locating the areas on the graph where the line is sloping upwards from left to right or where it is getting steeper. In this case, the answer choice would be the interval where the graph is moving upwards.
6. Similarly, to determine where the graph is decreasing, you need to find the intervals on the x-axis where the slope is negative. Look for the parts of the graph where it is moving downwards. You can visually identify this by locating the areas on the graph where the line is sloping downwards from left to right or where it is getting less steep. In this case, the answer choice would be the interval where the graph is moving downwards.
So, to find the correct answer choices for both questions, carefully observe the graph and identify the intervals where the graph is increasing and where it is decreasing. Compare these intervals with the given answer choices to find the correct options.