Math Problem Statement
when is the function decreasing? give me the intervals from start to end
Solution
The graph you provided represents a function that starts from a point and slopes downward. From visual inspection, the function decreases as it moves from left to right.
To find the intervals where the function is decreasing:
- The function begins decreasing at and continues until it reaches .
- The function is decreasing over the interval .
Hence, the interval of decrease is: .
Would you like to know more details about the function or any other related questions? Here are some to consider:
- How to find intervals where a function is increasing or decreasing.
- What is the slope of the function in the decreasing interval?
- How can you determine the domain and range from the graph?
- How do you identify the type of function from its graph?
- What is the significance of the slope in relation to the function's behavior?
Tip: For linear functions, the slope determines whether the function is increasing or decreasing. If the slope is negative, the function is decreasing.
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Math Problem Analysis
Mathematical Concepts
Functions
Decreasing Intervals
Graph Analysis
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
If the slope of a line is negative, the function is decreasing.
Suitable Grade Level
Grades 8-10