Math Problem Statement
Solution
The graph depicts a linear function with a negative slope, meaning it is decreasing over its entire domain. For a linear function with a constant negative slope, the function decreases from to .
Answer:
The interval in which the function is decreasing is:
Would you like further details on this concept or have any questions?
Here are some related questions you might find helpful:
- How do we determine intervals of increase or decrease for different types of functions?
- What does it mean for a function to be increasing or decreasing on an interval?
- How can we identify the slope of a linear function from its graph?
- What are the characteristics of a linear function with a positive slope?
- How does the behavior of a function differ between linear and nonlinear functions in terms of increasing and decreasing intervals?
Tip: For a function represented by a straight line, check the slope to determine if it’s increasing or decreasing; a positive slope means it increases, and a negative slope means it decreases.
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Intervals of Increase/Decrease
Formulas
Slope formula (m = (y2 - y1) / (x2 - x1))
Theorems
Properties of Linear Functions
Suitable Grade Level
Grades 8-10
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