What is the difference between linear and quadratic functions?
An example of an AI chatbot conversation about the differences between linear and quadratic functions.
What is the difference between linear and quadratic functions?
Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.
Can you give me an example of each?
Sure! A linear function example is f(x) = 2x + 3, which graphs as a straight line. A quadratic function example is f(x) = x² - 4, which graphs as a parabola.
How do their graphs look?
The graph of a linear function is a straight line, while the graph of a quadratic function is a U-shaped curve called a parabola.
What are the key characteristics of quadratic functions?
Key characteristics of quadratic functions include their vertex, axis of symmetry, and the direction they open (upward or downward).
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