Math Problem Statement
Answer this
Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay.
Solution
The graph provided shows a straight line with a negative slope, meaning it decreases as it moves from left to right.
This is a linear decreasing graph, not exponential decay. Exponential decay refers to a curve that decreases rapidly at first and then levels out, not a straight line.
The correct answer should be:
D. Linear decreasing
Would you like more details or have any questions?
Here are 5 related questions to deepen your understanding:
- How can you differentiate between linear and exponential graphs visually?
- What is the general equation for a linear function?
- How can you identify exponential decay on a graph?
- What are some real-world examples of linear decreasing functions?
- How does the slope of a line affect whether it's increasing or decreasing?
Tip: A straight line on a graph always represents a linear function, and the slope determines whether it's increasing or decreasing.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Graph Analysis
Formulas
Slope-intercept form y = mx + b
Theorems
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Suitable Grade Level
Grades 7-9