Questions: Determine the interval(s) on which the function is (strictly) decreasing.
Write your answer as an interval or list of intervals.
When writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible.
Click on "None" if applicable.
Transcript text: Determine the interval(s) on which the function is (strictly) decreasing.
Write your answer as an interval or list of intervals.
When writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible.
Click on "None" if applicable.
Solution
Solution Steps
Step 1: Identify the intervals where the function is decreasing
Examine the graph to determine where the function is strictly decreasing. The function is decreasing when the graph moves downward as we move from left to right.
Step 2: Note the specific intervals
From the graph:
The function decreases from \( x = -4 \) to \( x = -1 \).
The function decreases again from \( x = 1 \) to \( x = 3 \).
Step 3: Write the intervals in interval notation
Express the intervals where the function is decreasing in interval notation.
Final Answer
The function is strictly decreasing on the intervals \((-4, -1)\) and \((1, 3)\).