Math Problem Statement
The following graph is a representation of a function. Select one: True False
Solution
The graph in the image represents a curve, which corresponds to the graph of a mathematical function. A function is a relation between inputs (x-values) and outputs (y-values) where each input has exactly one output.
Looking at the graph:
- The curve passes the vertical line test, meaning for every -coordinate, there is only one corresponding -coordinate.
- Therefore, this is indeed a function.
The correct answer is True.
Would you like any additional details or explanations about functions or this graph? Here are some follow-up questions that might be useful:
- What is the "vertical line test" and why is it used to determine functions?
- How can you find the equation of a function from a graph?
- What types of functions could this graph represent?
- What is the significance of the graph's shape (e.g., its curvature or inflection point)?
- How would transformations (shifting, scaling) affect the graph of this function?
Tip: When analyzing functions visually, always ensure that the graph passes the vertical line test to confirm it represents a valid function.
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Math Problem Analysis
Mathematical Concepts
Functions
Graphing
Vertical Line Test
Formulas
-
Theorems
Vertical Line Test
Suitable Grade Level
Grades 9-12
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